What is the Least Common Multiple of 6456 and 6474?

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 6474 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 6474, than apply into the LCM equation.

GCF(6456,6474) = 6
LCM(6456,6474) = ( 6456 × 6474) / 6
LCM(6456,6474) = 41796144 / 6
LCM(6456,6474) = 6966024

Least Common Multiple (LCM) of 6456 and 6474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6456 and 6474. First we will calculate the prime factors of 6456 and 6474.

Prime Factorization of 6456

Prime Factorization of 6474

Now multiplying the highest exponent prime factors to calculate the LCM of 6456 and 6474.

LCM(6456,6474) = 2³ × 3¹ × 269¹ × 13¹ × 83¹
LCM(6456,6474) = 6966024