What is the Least Common Multiple of 59724 and 59731?

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 59724 and 59731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59724 and 59731, than apply into the LCM equation.

GCF(59724,59731) = 7
LCM(59724,59731) = ( 59724 × 59731) / 7
LCM(59724,59731) = 3567374244 / 7
LCM(59724,59731) = 509624892

Least Common Multiple (LCM) of 59724 and 59731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59724 and 59731. First we will calculate the prime factors of 59724 and 59731.

Prime Factorization of 59724

Prime Factorization of 59731

Now multiplying the highest exponent prime factors to calculate the LCM of 59724 and 59731.

LCM(59724,59731) = 2² × 3³ × 7² × 79¹ × 23¹ × 53¹
LCM(59724,59731) = 509624892