What is the Least Common Multiple of 44320 and 44325?

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 44320 and 44325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44320 and 44325, than apply into the LCM equation.

GCF(44320,44325) = 5
LCM(44320,44325) = ( 44320 × 44325) / 5
LCM(44320,44325) = 1964484000 / 5
LCM(44320,44325) = 392896800

Least Common Multiple (LCM) of 44320 and 44325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44320 and 44325. First we will calculate the prime factors of 44320 and 44325.

Prime Factorization of 44320

Prime Factorization of 44325

Now multiplying the highest exponent prime factors to calculate the LCM of 44320 and 44325.

LCM(44320,44325) = 2⁵ × 5² × 277¹ × 3² × 197¹
LCM(44320,44325) = 392896800