What is the Least Common Multiple of 4940 and 4959?

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 4940 and 4959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4940 and 4959, than apply into the LCM equation.

GCF(4940,4959) = 19
LCM(4940,4959) = ( 4940 × 4959) / 19
LCM(4940,4959) = 24497460 / 19
LCM(4940,4959) = 1289340

Least Common Multiple (LCM) of 4940 and 4959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4940 and 4959. First we will calculate the prime factors of 4940 and 4959.

Prime Factorization of 4940

Prime Factorization of 4959

Now multiplying the highest exponent prime factors to calculate the LCM of 4940 and 4959.

LCM(4940,4959) = 2² × 5¹ × 13¹ × 19¹ × 3² × 29¹
LCM(4940,4959) = 1289340