What is the Least Common Multiple of 44920 and 44932?

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 44920 and 44932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44920 and 44932, than apply into the LCM equation.

GCF(44920,44932) = 4
LCM(44920,44932) = ( 44920 × 44932) / 4
LCM(44920,44932) = 2018345440 / 4
LCM(44920,44932) = 504586360

Least Common Multiple (LCM) of 44920 and 44932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44920 and 44932. First we will calculate the prime factors of 44920 and 44932.

Prime Factorization of 44920

Prime Factorization of 44932

Now multiplying the highest exponent prime factors to calculate the LCM of 44920 and 44932.

LCM(44920,44932) = 2³ × 5¹ × 1123¹ × 47¹ × 239¹
LCM(44920,44932) = 504586360