What is the Least Common Multiple of 72624 and 72638?

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 72638 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 72638, than apply into the LCM equation.

GCF(72624,72638) = 2
LCM(72624,72638) = ( 72624 × 72638) / 2
LCM(72624,72638) = 5275262112 / 2
LCM(72624,72638) = 2637631056

Least Common Multiple (LCM) of 72624 and 72638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72624 and 72638. First we will calculate the prime factors of 72624 and 72638.

Prime Factorization of 72624

Prime Factorization of 72638

Now multiplying the highest exponent prime factors to calculate the LCM of 72624 and 72638.

LCM(72624,72638) = 2⁴ × 3¹ × 17¹ × 89¹ × 36319¹
LCM(72624,72638) = 2637631056