# What is the Least Common Multiple of 32 and 64?

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 32 and 64 is 64.

LCM(32,64) = 64

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## Least Common Multiple of 32 and 64 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32 and 64, than apply into the LCM equation.

GCF(32,64) = 32
LCM(32,64) = ( 32 × 64) / 32
LCM(32,64) = 2048 / 32
LCM(32,64) = 64

## Least Common Multiple (LCM) of 32 and 64 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32 and 64. First we will calculate the prime factors of 32 and 64.

### Prime Factorization of 32

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

### Prime Factorization of 64

Prime factors of 64 are 2. Prime factorization of 64 in exponential form is:

64 = 26

Now multiplying the highest exponent prime factors to calculate the LCM of 32 and 64.

LCM(32,64) = 26
LCM(32,64) = 64

#### Related Least Common Multiples of 64

##### Recent Comments
Akonaho 2021-03-04 09:38:47

What are the Lcm product of prime number of 64 and 32

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