What is the Least Common Multiple of 60939 and 60948?

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 60939 and 60948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60939 and 60948, than apply into the LCM equation.

GCF(60939,60948) = 9
LCM(60939,60948) = ( 60939 × 60948) / 9
LCM(60939,60948) = 3714110172 / 9
LCM(60939,60948) = 412678908

Least Common Multiple (LCM) of 60939 and 60948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60939 and 60948. First we will calculate the prime factors of 60939 and 60948.

Prime Factorization of 60939

Prime Factorization of 60948

Now multiplying the highest exponent prime factors to calculate the LCM of 60939 and 60948.

LCM(60939,60948) = 3³ × 37¹ × 61¹ × 2² × 1693¹
LCM(60939,60948) = 412678908