What is the Least Common Multiple of 72640 and 72658?

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 72640 and 72658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72640 and 72658, than apply into the LCM equation.

GCF(72640,72658) = 2
LCM(72640,72658) = ( 72640 × 72658) / 2
LCM(72640,72658) = 5277877120 / 2
LCM(72640,72658) = 2638938560

Least Common Multiple (LCM) of 72640 and 72658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72640 and 72658. First we will calculate the prime factors of 72640 and 72658.

Prime Factorization of 72640

Prime Factorization of 72658

Now multiplying the highest exponent prime factors to calculate the LCM of 72640 and 72658.

LCM(72640,72658) = 2⁶ × 5¹ × 227¹ × 17¹ × 2137¹
LCM(72640,72658) = 2638938560