What is the Least Common Multiple of 12675 and 12695?

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 12675 and 12695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12675 and 12695, than apply into the LCM equation.

GCF(12675,12695) = 5
LCM(12675,12695) = ( 12675 × 12695) / 5
LCM(12675,12695) = 160909125 / 5
LCM(12675,12695) = 32181825

Least Common Multiple (LCM) of 12675 and 12695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12675 and 12695. First we will calculate the prime factors of 12675 and 12695.

Prime Factorization of 12675

Prime Factorization of 12695

Now multiplying the highest exponent prime factors to calculate the LCM of 12675 and 12695.

LCM(12675,12695) = 3¹ × 5² × 13² × 2539¹
LCM(12675,12695) = 32181825