What is the Least Common Multiple of 72624 and 72639?

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 72624 and 72639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72624 and 72639, than apply into the LCM equation.

GCF(72624,72639) = 3
LCM(72624,72639) = ( 72624 × 72639) / 3
LCM(72624,72639) = 5275334736 / 3
LCM(72624,72639) = 1758444912

Least Common Multiple (LCM) of 72624 and 72639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72624 and 72639. First we will calculate the prime factors of 72624 and 72639.

Prime Factorization of 72624

Prime Factorization of 72639

Now multiplying the highest exponent prime factors to calculate the LCM of 72624 and 72639.

LCM(72624,72639) = 2⁴ × 3² × 17¹ × 89¹ × 7¹ × 1153¹
LCM(72624,72639) = 1758444912