What is the Least Common Multiple of 44919 and 44928?

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 44919 and 44928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44919 and 44928, than apply into the LCM equation.

GCF(44919,44928) = 9
LCM(44919,44928) = ( 44919 × 44928) / 9
LCM(44919,44928) = 2018120832 / 9
LCM(44919,44928) = 224235648

Least Common Multiple (LCM) of 44919 and 44928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44919 and 44928. First we will calculate the prime factors of 44919 and 44928.

Prime Factorization of 44919

Prime Factorization of 44928

Now multiplying the highest exponent prime factors to calculate the LCM of 44919 and 44928.

LCM(44919,44928) = 3³ × 7¹ × 23¹ × 31¹ × 2⁷ × 13¹
LCM(44919,44928) = 224235648