What is the Least Common Multiple of 60724 and 60737?

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 60724 and 60737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60724 and 60737, than apply into the LCM equation.

GCF(60724,60737) = 1
LCM(60724,60737) = ( 60724 × 60737) / 1
LCM(60724,60737) = 3688193588 / 1
LCM(60724,60737) = 3688193588

Least Common Multiple (LCM) of 60724 and 60737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60724 and 60737. First we will calculate the prime factors of 60724 and 60737.

Prime Factorization of 60724

Prime Factorization of 60737

Now multiplying the highest exponent prime factors to calculate the LCM of 60724 and 60737.

LCM(60724,60737) = 2² × 17¹ × 19¹ × 47¹ × 60737¹
LCM(60724,60737) = 3688193588