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What is the Least Common Multiple of 15137 and 15157?

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 15137 and 15157 is 229431509.

LCM(15137,15157) = 229431509

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Least Common Multiple of 15137 and 15157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15137 and 15157, than apply into the LCM equation.

GCF(15137,15157) = 1
LCM(15137,15157) = ( 15137 × 15157) / 1
LCM(15137,15157) = 229431509 / 1
LCM(15137,15157) = 229431509

Least Common Multiple (LCM) of 15137 and 15157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15137 and 15157. First we will calculate the prime factors of 15137 and 15157.

Prime Factorization of 15137

Prime factors of 15137 are 15137. Prime factorization of 15137 in exponential form is:

15137 = 151371

Prime Factorization of 15157

Prime factors of 15157 are 23, 659. Prime factorization of 15157 in exponential form is:

15157 = 231 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 15137 and 15157.

LCM(15137,15157) = 151371 × 231 × 6591
LCM(15137,15157) = 229431509