What is the Least Common Multiple of 44005 and 44025?

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 44005 and 44025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44005 and 44025, than apply into the LCM equation.

GCF(44005,44025) = 5
LCM(44005,44025) = ( 44005 × 44025) / 5
LCM(44005,44025) = 1937320125 / 5
LCM(44005,44025) = 387464025

Least Common Multiple (LCM) of 44005 and 44025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44005 and 44025. First we will calculate the prime factors of 44005 and 44025.

Prime Factorization of 44005

Prime Factorization of 44025

Now multiplying the highest exponent prime factors to calculate the LCM of 44005 and 44025.

LCM(44005,44025) = 5² × 13¹ × 677¹ × 3¹ × 587¹
LCM(44005,44025) = 387464025