What is the difference between hcm and lcm

Let us understand how to find out HCF using this method:. Step 1 : Write each number as a product of its prime factors. Step 2 : Now list the common factors of both numbers. Step 3 : The product of all common prime factors is the HCF use the lower power of each common factor. As we know, the product of all common prime factors is the HCF. To find the HCF of any two or more numbers using the division method, let us follow the below steps:.

Draw a line under the two numbers. To find the HCF, just multiply all the numbers present on the left marked in red. To calculate the LCM, we need to use the common prime factors for all the numbers.

First, we need to write the prime factors of each of the given numbers. To find the LCM, we have to multiply each factor the highest number of times it occurs in any number. To calculate the LCM of any two or more numbers using the long division method, we will use the same technique as we used to find the HCF. LCM of and is Solution: To find the HCF of and by the division method, we will follow the given steps: Divide by The obtained quotient is 1 and remainder is Make 38 as the divisor and as the dividend and perform the division again.

Here, the obtained quotient is 3 and the remainder is Make 12 as the divisor and 38 as the dividend and perform the division again. Here, the obtained quotient is 3 and the remainder is 2. Make 2 as the divisor and 12 as the dividend and perform the division again. Here, the obtained quotient is 6 and the remainder is 0. The last divisor, 2, is the HCF of and Great learning in high school using simple cues. Indulging in rote learning, you are likely to forget concepts.

With Cuemath, you will learn visually and be surprised by the outcomes. Explore math program. Explore coding program. Math worksheets and visual curriculum. Get free 1 year access. For example, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and The LCM of two integers is the smallest whole number that appears in both of their times tables, that is, the smallest integer that is a multiple of both numbers.

For example, the LCM of 4 and 5 is To see this, look at the multiples times table of The HCF of two integers is the largest whole number that divides both numbers without leaving a remainder. For example, the HCF of 16 and 24 is 8. Factors and Multiples : All the numbers that divide a number completely, i.

For example, 24 is completely divisible by 1, 2, 3, 4, 6, 8, 12, Each of these numbers is called a factor of 24 and 24 is called a multiple of each of these numbers. LCM : The least number which is exactly divisible by each of the given numbers is called the least common multiple of those numbers.

For example, consider the numbers 3, 31 and 62 2 x To find the LCM of the given numbers, we express each number as a product of prime numbers. The product highest power of the prime numbers that appear in prime factorization of any of the numbers gives us the LCM. For example, consider the numbers 2, 3, 4 2 x 2 , 5, 6 2 x 3. The highest power of 2 comes from prime factorization of 4, the highest power of 3 comes from prime factorization of 3 and prime factorization of 6 and the highest power of 5 comes from prime factorization of 5.

To find the HCF of two or more numbers, express each number as product of prime numbers. The product of the least powers of common prime terms gives us the HCF. This is the method we illustrated in the above step. Also, for finding the HCF of two numbers, we can also proceed by long division method. We divide the larger number by the smaller number divisor.

Now, we divide the divisor by the remainder obtained in the previous stage. We repeat the same procedure until we get zero as the remainder. At that stage, the last divisor would be the required HCF. For example, we find the HCF of 30 and