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What is the Least Common Multiple of 12615 and 12635?

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 12615 and 12635 is 31878105.

LCM(12615,12635) = 31878105

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Least Common Multiple of 12615 and 12635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12615 and 12635, than apply into the LCM equation.

GCF(12615,12635) = 5
LCM(12615,12635) = ( 12615 × 12635) / 5
LCM(12615,12635) = 159390525 / 5
LCM(12615,12635) = 31878105

Least Common Multiple (LCM) of 12615 and 12635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12615 and 12635. First we will calculate the prime factors of 12615 and 12635.

Prime Factorization of 12615

Prime factors of 12615 are 3, 5, 29. Prime factorization of 12615 in exponential form is:

12615 = 31 × 51 × 292

Prime Factorization of 12635

Prime factors of 12635 are 5, 7, 19. Prime factorization of 12635 in exponential form is:

12635 = 51 × 71 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 12615 and 12635.

LCM(12615,12635) = 31 × 51 × 292 × 71 × 192
LCM(12615,12635) = 31878105