What is the Least Common Multiple of 60924 and 60939?

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 60924 and 60939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60924 and 60939, than apply into the LCM equation.

GCF(60924,60939) = 3
LCM(60924,60939) = ( 60924 × 60939) / 3
LCM(60924,60939) = 3712647636 / 3
LCM(60924,60939) = 1237549212

Least Common Multiple (LCM) of 60924 and 60939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60924 and 60939. First we will calculate the prime factors of 60924 and 60939.

Prime Factorization of 60924

Prime Factorization of 60939

Now multiplying the highest exponent prime factors to calculate the LCM of 60924 and 60939.

LCM(60924,60939) = 2² × 3³ × 5077¹ × 37¹ × 61¹
LCM(60924,60939) = 1237549212