What is the Least Common Multiple of 72736 and 72741?

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 72736 and 72741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72736 and 72741, than apply into the LCM equation.

GCF(72736,72741) = 1
LCM(72736,72741) = ( 72736 × 72741) / 1
LCM(72736,72741) = 5290889376 / 1
LCM(72736,72741) = 5290889376

Least Common Multiple (LCM) of 72736 and 72741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72736 and 72741. First we will calculate the prime factors of 72736 and 72741.

Prime Factorization of 72736

Prime Factorization of 72741

Now multiplying the highest exponent prime factors to calculate the LCM of 72736 and 72741.

LCM(72736,72741) = 2⁵ × 2273¹ × 3¹ × 24247¹
LCM(72736,72741) = 5290889376