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What is the Least Common Multiple of 12137 and 12152?

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 12137 and 12152 is 147488824.

LCM(12137,12152) = 147488824

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Least Common Multiple of 12137 and 12152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12137 and 12152, than apply into the LCM equation.

GCF(12137,12152) = 1
LCM(12137,12152) = ( 12137 × 12152) / 1
LCM(12137,12152) = 147488824 / 1
LCM(12137,12152) = 147488824

Least Common Multiple (LCM) of 12137 and 12152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12137 and 12152. First we will calculate the prime factors of 12137 and 12152.

Prime Factorization of 12137

Prime factors of 12137 are 53, 229. Prime factorization of 12137 in exponential form is:

12137 = 531 × 2291

Prime Factorization of 12152

Prime factors of 12152 are 2, 7, 31. Prime factorization of 12152 in exponential form is:

12152 = 23 × 72 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 12137 and 12152.

LCM(12137,12152) = 531 × 2291 × 23 × 72 × 311
LCM(12137,12152) = 147488824