What is the Least Common Multiple of 4959 and 4977?

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 4959 and 4977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4959 and 4977, than apply into the LCM equation.

GCF(4959,4977) = 9
LCM(4959,4977) = ( 4959 × 4977) / 9
LCM(4959,4977) = 24680943 / 9
LCM(4959,4977) = 2742327

Least Common Multiple (LCM) of 4959 and 4977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4959 and 4977. First we will calculate the prime factors of 4959 and 4977.

Prime Factorization of 4959

Prime Factorization of 4977

Now multiplying the highest exponent prime factors to calculate the LCM of 4959 and 4977.

LCM(4959,4977) = 3² × 19¹ × 29¹ × 7¹ × 79¹
LCM(4959,4977) = 2742327