What is the Least Common Multiple of 44928 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 44928 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 44928 and 44932, than apply into the LCM equation.

GCF(44928,44932) = 4
LCM(44928,44932) = ( 44928 × 44932) / 4
LCM(44928,44932) = 2018704896 / 4
LCM(44928,44932) = 504676224

Least Common Multiple (LCM) of 44928 and 44932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44928 and 44932. First we will calculate the prime factors of 44928 and 44932.

Prime Factorization of 44928

Prime Factorization of 44932

Now multiplying the highest exponent prime factors to calculate the LCM of 44928 and 44932.

LCM(44928,44932) = 2⁷ × 3³ × 13¹ × 47¹ × 239¹
LCM(44928,44932) = 504676224