What is the Least Common Multiple of 72724 and 72740?

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 72724 and 72740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72724 and 72740, than apply into the LCM equation.

GCF(72724,72740) = 4
LCM(72724,72740) = ( 72724 × 72740) / 4
LCM(72724,72740) = 5289943760 / 4
LCM(72724,72740) = 1322485940

Least Common Multiple (LCM) of 72724 and 72740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72724 and 72740. First we will calculate the prime factors of 72724 and 72740.

Prime Factorization of 72724

Prime Factorization of 72740

Now multiplying the highest exponent prime factors to calculate the LCM of 72724 and 72740.

LCM(72724,72740) = 2² × 18181¹ × 5¹ × 3637¹
LCM(72724,72740) = 1322485940