GCF and LCM Calculator Logo

What is the Least Common Multiple of 12604 and 12618?

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 12604 and 12618 is 79518636.

LCM(12604,12618) = 79518636

LCM Calculator and
and

Least Common Multiple of 12604 and 12618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12604 and 12618, than apply into the LCM equation.

GCF(12604,12618) = 2
LCM(12604,12618) = ( 12604 × 12618) / 2
LCM(12604,12618) = 159037272 / 2
LCM(12604,12618) = 79518636

Least Common Multiple (LCM) of 12604 and 12618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12604 and 12618. First we will calculate the prime factors of 12604 and 12618.

Prime Factorization of 12604

Prime factors of 12604 are 2, 23, 137. Prime factorization of 12604 in exponential form is:

12604 = 22 × 231 × 1371

Prime Factorization of 12618

Prime factors of 12618 are 2, 3, 701. Prime factorization of 12618 in exponential form is:

12618 = 21 × 32 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 12604 and 12618.

LCM(12604,12618) = 22 × 231 × 1371 × 32 × 7011
LCM(12604,12618) = 79518636