What is the Least Common Multiple of 72633 and 72646?

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 72633 and 72646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72633 and 72646, than apply into the LCM equation.

GCF(72633,72646) = 1
LCM(72633,72646) = ( 72633 × 72646) / 1
LCM(72633,72646) = 5276496918 / 1
LCM(72633,72646) = 5276496918

Least Common Multiple (LCM) of 72633 and 72646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72633 and 72646. First we will calculate the prime factors of 72633 and 72646.

Prime Factorization of 72633

Prime Factorization of 72646

Now multiplying the highest exponent prime factors to calculate the LCM of 72633 and 72646.

LCM(72633,72646) = 3¹ × 11¹ × 31¹ × 71¹ × 2¹ × 7¹ × 5189¹
LCM(72633,72646) = 5276496918