GCF and LCM Calculator Logo

What is the Least Common Multiple of 12664 and 12675?

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 12664 and 12675 is 160516200.

LCM(12664,12675) = 160516200

LCM Calculator and
and

Least Common Multiple of 12664 and 12675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12664 and 12675, than apply into the LCM equation.

GCF(12664,12675) = 1
LCM(12664,12675) = ( 12664 × 12675) / 1
LCM(12664,12675) = 160516200 / 1
LCM(12664,12675) = 160516200

Least Common Multiple (LCM) of 12664 and 12675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12664 and 12675. First we will calculate the prime factors of 12664 and 12675.

Prime Factorization of 12664

Prime factors of 12664 are 2, 1583. Prime factorization of 12664 in exponential form is:

12664 = 23 × 15831

Prime Factorization of 12675

Prime factors of 12675 are 3, 5, 13. Prime factorization of 12675 in exponential form is:

12675 = 31 × 52 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 12664 and 12675.

LCM(12664,12675) = 23 × 15831 × 31 × 52 × 132
LCM(12664,12675) = 160516200