What is the Least Common Multiple of 44384 and 44399?

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 44384 and 44399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44384 and 44399, than apply into the LCM equation.

GCF(44384,44399) = 1
LCM(44384,44399) = ( 44384 × 44399) / 1
LCM(44384,44399) = 1970605216 / 1
LCM(44384,44399) = 1970605216

Least Common Multiple (LCM) of 44384 and 44399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44384 and 44399. First we will calculate the prime factors of 44384 and 44399.

Prime Factorization of 44384

Prime Factorization of 44399

Now multiplying the highest exponent prime factors to calculate the LCM of 44384 and 44399.

LCM(44384,44399) = 2⁵ × 19¹ × 73¹ × 29¹ × 1531¹
LCM(44384,44399) = 1970605216