What is the Least Common Multiple of 44384 and 44395?

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 44395 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 44395, than apply into the LCM equation.

GCF(44384,44395) = 1
LCM(44384,44395) = ( 44384 × 44395) / 1
LCM(44384,44395) = 1970427680 / 1
LCM(44384,44395) = 1970427680

Least Common Multiple (LCM) of 44384 and 44395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44384 and 44395. First we will calculate the prime factors of 44384 and 44395.

Prime Factorization of 44384

Prime Factorization of 44395

Now multiplying the highest exponent prime factors to calculate the LCM of 44384 and 44395.

LCM(44384,44395) = 2⁵ × 19¹ × 73¹ × 5¹ × 13¹ × 683¹
LCM(44384,44395) = 1970427680