What is the Least Common Multiple of 44384 and 44391?

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 44391 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 44391, than apply into the LCM equation.

GCF(44384,44391) = 1
LCM(44384,44391) = ( 44384 × 44391) / 1
LCM(44384,44391) = 1970250144 / 1
LCM(44384,44391) = 1970250144

Least Common Multiple (LCM) of 44384 and 44391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44384 and 44391. First we will calculate the prime factors of 44384 and 44391.

Prime Factorization of 44384

Prime Factorization of 44391

Now multiplying the highest exponent prime factors to calculate the LCM of 44384 and 44391.

LCM(44384,44391) = 2⁵ × 19¹ × 73¹ × 3¹ × 14797¹
LCM(44384,44391) = 1970250144