What is the Least Common Multiple of 44375 and 44384?

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 44375 and 44384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44375 and 44384, than apply into the LCM equation.

GCF(44375,44384) = 1
LCM(44375,44384) = ( 44375 × 44384) / 1
LCM(44375,44384) = 1969540000 / 1
LCM(44375,44384) = 1969540000

Least Common Multiple (LCM) of 44375 and 44384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44375 and 44384. First we will calculate the prime factors of 44375 and 44384.

Prime Factorization of 44375

Prime Factorization of 44384

Now multiplying the highest exponent prime factors to calculate the LCM of 44375 and 44384.

LCM(44375,44384) = 5⁴ × 71¹ × 2⁵ × 19¹ × 73¹
LCM(44375,44384) = 1969540000