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What is the Least Common Multiple of 12615 and 12627?

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 12627 is 53096535.

LCM(12615,12627) = 53096535

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Least Common Multiple of 12615 and 12627 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 12627, than apply into the LCM equation.

GCF(12615,12627) = 3
LCM(12615,12627) = ( 12615 × 12627) / 3
LCM(12615,12627) = 159289605 / 3
LCM(12615,12627) = 53096535

Least Common Multiple (LCM) of 12615 and 12627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12615 and 12627. First we will calculate the prime factors of 12615 and 12627.

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 12627

Prime factors of 12627 are 3, 23, 61. Prime factorization of 12627 in exponential form is:

12627 = 32 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 12615 and 12627.

LCM(12615,12627) = 32 × 51 × 292 × 231 × 611
LCM(12615,12627) = 53096535