What is the Least Common Multiple of 6468 and 6486?

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 6486 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 6486, than apply into the LCM equation.

GCF(6468,6486) = 6
LCM(6468,6486) = ( 6468 × 6486) / 6
LCM(6468,6486) = 41951448 / 6
LCM(6468,6486) = 6991908

Least Common Multiple (LCM) of 6468 and 6486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6468 and 6486. First we will calculate the prime factors of 6468 and 6486.

Prime Factorization of 6468

Prime Factorization of 6486

Now multiplying the highest exponent prime factors to calculate the LCM of 6468 and 6486.

LCM(6468,6486) = 2² × 3¹ × 7² × 11¹ × 23¹ × 47¹
LCM(6468,6486) = 6991908