What is the Least Common Multiple of 72672 and 72678?

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 72672 and 72678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72672 and 72678, than apply into the LCM equation.

GCF(72672,72678) = 6
LCM(72672,72678) = ( 72672 × 72678) / 6
LCM(72672,72678) = 5281655616 / 6
LCM(72672,72678) = 880275936

Least Common Multiple (LCM) of 72672 and 72678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72672 and 72678. First we will calculate the prime factors of 72672 and 72678.

Prime Factorization of 72672

Prime Factorization of 72678

Now multiplying the highest exponent prime factors to calculate the LCM of 72672 and 72678.

LCM(72672,72678) = 2⁵ × 3¹ × 757¹ × 12113¹
LCM(72672,72678) = 880275936