What is the Least Common Multiple of 44475 and 44480?

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 44475 and 44480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44475 and 44480, than apply into the LCM equation.

GCF(44475,44480) = 5
LCM(44475,44480) = ( 44475 × 44480) / 5
LCM(44475,44480) = 1978248000 / 5
LCM(44475,44480) = 395649600

Least Common Multiple (LCM) of 44475 and 44480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44475 and 44480. First we will calculate the prime factors of 44475 and 44480.

Prime Factorization of 44475

Prime Factorization of 44480

Now multiplying the highest exponent prime factors to calculate the LCM of 44475 and 44480.

LCM(44475,44480) = 3¹ × 5² × 593¹ × 2⁶ × 139¹
LCM(44475,44480) = 395649600