What is the Least Common Multiple of 6456 and 6468?

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 6456 and 6468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6456 and 6468, than apply into the LCM equation.

GCF(6456,6468) = 12
LCM(6456,6468) = ( 6456 × 6468) / 12
LCM(6456,6468) = 41757408 / 12
LCM(6456,6468) = 3479784

Least Common Multiple (LCM) of 6456 and 6468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6456 and 6468. First we will calculate the prime factors of 6456 and 6468.

Prime Factorization of 6456

Prime Factorization of 6468

Now multiplying the highest exponent prime factors to calculate the LCM of 6456 and 6468.

LCM(6456,6468) = 2³ × 3¹ × 269¹ × 7² × 11¹
LCM(6456,6468) = 3479784