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What is the Least Common Multiple of 15291 and 15307?

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 15291 and 15307 is 234059337.

LCM(15291,15307) = 234059337

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Least Common Multiple of 15291 and 15307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15291 and 15307, than apply into the LCM equation.

GCF(15291,15307) = 1
LCM(15291,15307) = ( 15291 × 15307) / 1
LCM(15291,15307) = 234059337 / 1
LCM(15291,15307) = 234059337

Least Common Multiple (LCM) of 15291 and 15307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15291 and 15307. First we will calculate the prime factors of 15291 and 15307.

Prime Factorization of 15291

Prime factors of 15291 are 3, 1699. Prime factorization of 15291 in exponential form is:

15291 = 32 × 16991

Prime Factorization of 15307

Prime factors of 15307 are 15307. Prime factorization of 15307 in exponential form is:

15307 = 153071

Now multiplying the highest exponent prime factors to calculate the LCM of 15291 and 15307.

LCM(15291,15307) = 32 × 16991 × 153071
LCM(15291,15307) = 234059337