What is the Least Common Multiple of 44025 and 44037?

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 44037 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 44037, than apply into the LCM equation.

GCF(44025,44037) = 3
LCM(44025,44037) = ( 44025 × 44037) / 3
LCM(44025,44037) = 1938728925 / 3
LCM(44025,44037) = 646242975

Least Common Multiple (LCM) of 44025 and 44037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44025 and 44037. First we will calculate the prime factors of 44025 and 44037.

Prime Factorization of 44025

Prime Factorization of 44037

Now multiplying the highest exponent prime factors to calculate the LCM of 44025 and 44037.

LCM(44025,44037) = 3³ × 5² × 587¹ × 7¹ × 233¹
LCM(44025,44037) = 646242975