What is the Least Common Multiple of 12675 and 12688?

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 12688 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 12688, than apply into the LCM equation.

GCF(12675,12688) = 13
LCM(12675,12688) = ( 12675 × 12688) / 13
LCM(12675,12688) = 160820400 / 13
LCM(12675,12688) = 12370800

Least Common Multiple (LCM) of 12675 and 12688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12675 and 12688. First we will calculate the prime factors of 12675 and 12688.

Prime Factorization of 12675

Prime Factorization of 12688

Now multiplying the highest exponent prime factors to calculate the LCM of 12675 and 12688.

LCM(12675,12688) = 3¹ × 5² × 13² × 2⁴ × 61¹
LCM(12675,12688) = 12370800