In **Least Common Multiple (LCM)**, Resolve each of the given numbers into product of prime factors The least number which is exactly divisible by each one of the given numbers is called LCM. Then, LCM is the product of highest powers of all factors. This worksheet help you to you to understand how to calculate LCM.

**Example problem:**

Find the LCM of 72, 108 and 2100.

72 = 2^{3} x 3^{2}

108 = 2^{2} x 3^{3}

2100 = 2^{2} x 5^{2} x 3 x 7

We know that LCM is the product of highest powers of all factors,

Therefore LCM = 2^{3} x 3^{3} x 5^{2} x 7 = 37800.

The LCM for the given number is **37800**

When you try such calculations on your own, this LCM calculator can be used to verify the results of your calculations.

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