What is the Least Common Multiple of 44964 and 44979?

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 44964 and 44979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44964 and 44979, than apply into the LCM equation.

GCF(44964,44979) = 3
LCM(44964,44979) = ( 44964 × 44979) / 3
LCM(44964,44979) = 2022435756 / 3
LCM(44964,44979) = 674145252

Least Common Multiple (LCM) of 44964 and 44979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44964 and 44979. First we will calculate the prime factors of 44964 and 44979.

Prime Factorization of 44964

Prime Factorization of 44979

Now multiplying the highest exponent prime factors to calculate the LCM of 44964 and 44979.

LCM(44964,44979) = 2² × 3² × 1249¹ × 11¹ × 29¹ × 47¹
LCM(44964,44979) = 674145252