What is the Least Common Multiple of 44928 and 44946?

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 44946 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 44946, than apply into the LCM equation.

GCF(44928,44946) = 18
LCM(44928,44946) = ( 44928 × 44946) / 18
LCM(44928,44946) = 2019333888 / 18
LCM(44928,44946) = 112185216

Least Common Multiple (LCM) of 44928 and 44946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44928 and 44946. First we will calculate the prime factors of 44928 and 44946.

Prime Factorization of 44928

Prime Factorization of 44946

Now multiplying the highest exponent prime factors to calculate the LCM of 44928 and 44946.

LCM(44928,44946) = 2⁷ × 3³ × 13¹ × 11¹ × 227¹
LCM(44928,44946) = 112185216