# What is the Least Common Multiple of 164 and 182?

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 164 and 182 is 14924.

LCM(164,182) = 14924

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## Least Common Multiple of 164 and 182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 164 and 182, than apply into the LCM equation.

GCF(164,182) = 2
LCM(164,182) = ( 164 × 182) / 2
LCM(164,182) = 29848 / 2
LCM(164,182) = 14924

## Least Common Multiple (LCM) of 164 and 182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 164 and 182. First we will calculate the prime factors of 164 and 182.

### Prime Factorization of 164

Prime factors of 164 are 2, 41. Prime factorization of 164 in exponential form is:

164 = 22 × 411

### Prime Factorization of 182

Prime factors of 182 are 2, 7, 13. Prime factorization of 182 in exponential form is:

182 = 21 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 164 and 182.

LCM(164,182) = 22 × 411 × 71 × 131
LCM(164,182) = 14924