What is the Least Common Multiple of 44659 and 44676?

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 44659 and 44676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44659 and 44676, than apply into the LCM equation.

GCF(44659,44676) = 17
LCM(44659,44676) = ( 44659 × 44676) / 17
LCM(44659,44676) = 1995185484 / 17
LCM(44659,44676) = 117363852

Least Common Multiple (LCM) of 44659 and 44676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44659 and 44676. First we will calculate the prime factors of 44659 and 44676.

Prime Factorization of 44659

Prime Factorization of 44676

Now multiplying the highest exponent prime factors to calculate the LCM of 44659 and 44676.

LCM(44659,44676) = 17¹ × 37¹ × 71¹ × 2² × 3² × 73¹
LCM(44659,44676) = 117363852