What is the Least Common Multiple of 60712 and 60724?

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 60712 and 60724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60712 and 60724, than apply into the LCM equation.

GCF(60712,60724) = 4
LCM(60712,60724) = ( 60712 × 60724) / 4
LCM(60712,60724) = 3686675488 / 4
LCM(60712,60724) = 921668872

Least Common Multiple (LCM) of 60712 and 60724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60712 and 60724. First we will calculate the prime factors of 60712 and 60724.

Prime Factorization of 60712

Prime Factorization of 60724

Now multiplying the highest exponent prime factors to calculate the LCM of 60712 and 60724.

LCM(60712,60724) = 2³ × 7589¹ × 17¹ × 19¹ × 47¹
LCM(60712,60724) = 921668872