What is the Least Common Multiple of 12657 and 12672?

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 12657 and 12672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12657 and 12672, than apply into the LCM equation.

GCF(12657,12672) = 3
LCM(12657,12672) = ( 12657 × 12672) / 3
LCM(12657,12672) = 160389504 / 3
LCM(12657,12672) = 53463168

Least Common Multiple (LCM) of 12657 and 12672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12657 and 12672. First we will calculate the prime factors of 12657 and 12672.

Prime Factorization of 12657

Prime Factorization of 12672

Now multiplying the highest exponent prime factors to calculate the LCM of 12657 and 12672.

LCM(12657,12672) = 3² × 4219¹ × 2⁷ × 11¹
LCM(12657,12672) = 53463168