What is the Least Common Multiple of 6468 and 6487?

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 6468 and 6487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6468 and 6487, than apply into the LCM equation.

GCF(6468,6487) = 1
LCM(6468,6487) = ( 6468 × 6487) / 1
LCM(6468,6487) = 41957916 / 1
LCM(6468,6487) = 41957916

Least Common Multiple (LCM) of 6468 and 6487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6468 and 6487. First we will calculate the prime factors of 6468 and 6487.

Prime Factorization of 6468

Prime Factorization of 6487

Now multiplying the highest exponent prime factors to calculate the LCM of 6468 and 6487.

LCM(6468,6487) = 2² × 3¹ × 7² × 11¹ × 13¹ × 499¹
LCM(6468,6487) = 41957916