# What is the Least Common Multiple of 5 and 10?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 5 and 10 is 10.

LCM(5,10) = 10

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## Least Common Multiple of 5 and 10 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5 and 10, than apply into the LCM equation.

GCF(5,10) = 5
LCM(5,10) = ( 5 × 10) / 5
LCM(5,10) = 50 / 5
LCM(5,10) = 10

## Least Common Multiple (LCM) of 5 and 10 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 10. First we will calculate the prime factors of 5 and 10.

### Prime Factorization of 5

Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

### Prime Factorization of 10

Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:

10 = 21 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 10.

LCM(5,10) = 51 × 21
LCM(5,10) = 10

#### Related Least Common Multiples of 10

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Student 2021-01-17 23:08:00

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Guest 2019-10-16 09:40:05

When Will The Lcm Of Two Numbers Be The Product Of The Numbers?

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