What is the Least Common Multiple of 44355 and 44360?

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 44355 and 44360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44355 and 44360, than apply into the LCM equation.

GCF(44355,44360) = 5
LCM(44355,44360) = ( 44355 × 44360) / 5
LCM(44355,44360) = 1967587800 / 5
LCM(44355,44360) = 393517560

Least Common Multiple (LCM) of 44355 and 44360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44355 and 44360. First we will calculate the prime factors of 44355 and 44360.

Prime Factorization of 44355

Prime Factorization of 44360

Now multiplying the highest exponent prime factors to calculate the LCM of 44355 and 44360.

LCM(44355,44360) = 3¹ × 5¹ × 2957¹ × 2³ × 1109¹
LCM(44355,44360) = 393517560