What is the Least Common Multiple of 12660 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 of 12660 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 12660 and 12675, than apply into the LCM equation.

GCF(12660,12675) = 15
LCM(12660,12675) = ( 12660 × 12675) / 15
LCM(12660,12675) = 160465500 / 15
LCM(12660,12675) = 10697700

Least Common Multiple (LCM) of 12660 and 12675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12660 and 12675. First we will calculate the prime factors of 12660 and 12675.

Prime Factorization of 12660

Prime Factorization of 12675

Now multiplying the highest exponent prime factors to calculate the LCM of 12660 and 12675.

LCM(12660,12675) = 2² × 3¹ × 5² × 211¹ × 13²
LCM(12660,12675) = 10697700