What is the Least Common Multiple of 12648 and 12657?

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 12648 and 12657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12648 and 12657, than apply into the LCM equation.

GCF(12648,12657) = 3
LCM(12648,12657) = ( 12648 × 12657) / 3
LCM(12648,12657) = 160085736 / 3
LCM(12648,12657) = 53361912

Least Common Multiple (LCM) of 12648 and 12657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12648 and 12657. First we will calculate the prime factors of 12648 and 12657.

Prime Factorization of 12648

Prime Factorization of 12657

Now multiplying the highest exponent prime factors to calculate the LCM of 12648 and 12657.

LCM(12648,12657) = 2³ × 3¹ × 17¹ × 31¹ × 4219¹
LCM(12648,12657) = 53361912