What is the Least Common Multiple of 44025 and 44045?

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 44025 and 44045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44025 and 44045, than apply into the LCM equation.

GCF(44025,44045) = 5
LCM(44025,44045) = ( 44025 × 44045) / 5
LCM(44025,44045) = 1939081125 / 5
LCM(44025,44045) = 387816225

Least Common Multiple (LCM) of 44025 and 44045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44025 and 44045. First we will calculate the prime factors of 44025 and 44045.

Prime Factorization of 44025

Prime Factorization of 44045

Now multiplying the highest exponent prime factors to calculate the LCM of 44025 and 44045.

LCM(44025,44045) = 3¹ × 5² × 587¹ × 23¹ × 383¹
LCM(44025,44045) = 387816225