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##### Asked by: Stefan Caricol

video gaming music and party video games# How do you calculate HCF and LCM?

**HCF**of 60 and72 is 2 × 2 × 3 which is 12. The lowest common multipleis found by multiplying all the factors which appear in eitherlist: So the

**LCM**of 60 and 72 is 2 × 2 × 2× 3 × 3 × 5 which is 360.

Also, how do you calculate HCF?

The product of least powers of common prime factorsgives **HCF**. Division Method: Two find the **HCF** of twogiven numbers, divide the largest by the small number, then dividethe dividend by the remainder.

**36**= 1, 2, 3, 4, 6, 9, 12, 18 and

**36**. Therefore, common factor of

**24 and 36**= 1, 2, 3,4, 6, 8 and 12. Highest common factor (

**H.C.F) of 24 and 36**=12. To find Highest Common Factor by using Prime FactorizationMethod.

In this regard, how is LCF calculated?

One way to find the least common multiple of two numbersis to first list the prime factors of each number. Then multiplyeach factor the greatest number of times it occurs in eithernumber. If the same factor occurs more than once in both numbers,you multiply the factor the greatest number of times itoccurs.

For **example**, LCM of 10, 15, and 20 is 60. HighestCommon Factor (**HCF**): The largest or greatest factor commonto any two or more given natural numbers is termed as **HCF** ofgiven numbers. Also known as GCD (Greatest Common Divisor). For**example**, **HCF** of 4, 6 and 8 is 2.