What is the Least Common Multiple of 44025 and 44036?

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 44036 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 44036, than apply into the LCM equation.

GCF(44025,44036) = 1
LCM(44025,44036) = ( 44025 × 44036) / 1
LCM(44025,44036) = 1938684900 / 1
LCM(44025,44036) = 1938684900

Least Common Multiple (LCM) of 44025 and 44036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44025 and 44036. First we will calculate the prime factors of 44025 and 44036.

Prime Factorization of 44025

Prime Factorization of 44036

Now multiplying the highest exponent prime factors to calculate the LCM of 44025 and 44036.

LCM(44025,44036) = 3¹ × 5² × 587¹ × 2² × 101¹ × 109¹
LCM(44025,44036) = 1938684900