What is the Least Common Multiple of 4920 and 4939?

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 4920 and 4939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4920 and 4939, than apply into the LCM equation.

GCF(4920,4939) = 1
LCM(4920,4939) = ( 4920 × 4939) / 1
LCM(4920,4939) = 24299880 / 1
LCM(4920,4939) = 24299880

Least Common Multiple (LCM) of 4920 and 4939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4920 and 4939. First we will calculate the prime factors of 4920 and 4939.

Prime Factorization of 4920

Prime Factorization of 4939

Now multiplying the highest exponent prime factors to calculate the LCM of 4920 and 4939.

LCM(4920,4939) = 2³ × 3¹ × 5¹ × 41¹ × 11¹ × 449¹
LCM(4920,4939) = 24299880