What is the Least Common Multiple of 72648 and 72666?

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 72648 and 72666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72648 and 72666, than apply into the LCM equation.

GCF(72648,72666) = 18
LCM(72648,72666) = ( 72648 × 72666) / 18
LCM(72648,72666) = 5279039568 / 18
LCM(72648,72666) = 293279976

Least Common Multiple (LCM) of 72648 and 72666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72648 and 72666. First we will calculate the prime factors of 72648 and 72666.

Prime Factorization of 72648

Prime Factorization of 72666

Now multiplying the highest exponent prime factors to calculate the LCM of 72648 and 72666.

LCM(72648,72666) = 2³ × 3² × 1009¹ × 11¹ × 367¹
LCM(72648,72666) = 293279976