What is the Least Common Multiple of 44952 and 44959?

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 44952 and 44959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44952 and 44959, than apply into the LCM equation.

GCF(44952,44959) = 1
LCM(44952,44959) = ( 44952 × 44959) / 1
LCM(44952,44959) = 2020996968 / 1
LCM(44952,44959) = 2020996968

Least Common Multiple (LCM) of 44952 and 44959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44952 and 44959. First we will calculate the prime factors of 44952 and 44959.

Prime Factorization of 44952

Prime Factorization of 44959

Now multiplying the highest exponent prime factors to calculate the LCM of 44952 and 44959.

LCM(44952,44959) = 2³ × 3¹ × 1873¹ × 44959¹
LCM(44952,44959) = 2020996968