What is the Least Common Multiple of 6438 and 6456?

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 6438 and 6456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6438 and 6456, than apply into the LCM equation.

GCF(6438,6456) = 6
LCM(6438,6456) = ( 6438 × 6456) / 6
LCM(6438,6456) = 41563728 / 6
LCM(6438,6456) = 6927288

Least Common Multiple (LCM) of 6438 and 6456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6456. First we will calculate the prime factors of 6438 and 6456.

Prime Factorization of 6438

Prime Factorization of 6456

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6456.

LCM(6438,6456) = 2³ × 3¹ × 29¹ × 37¹ × 269¹
LCM(6438,6456) = 6927288