What is the Least Common Multiple of 44405 and 44425?

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 44405 and 44425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44405 and 44425, than apply into the LCM equation.

GCF(44405,44425) = 5
LCM(44405,44425) = ( 44405 × 44425) / 5
LCM(44405,44425) = 1972692125 / 5
LCM(44405,44425) = 394538425

Least Common Multiple (LCM) of 44405 and 44425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44405 and 44425. First we will calculate the prime factors of 44405 and 44425.

Prime Factorization of 44405

Prime Factorization of 44425

Now multiplying the highest exponent prime factors to calculate the LCM of 44405 and 44425.

LCM(44405,44425) = 5² × 83¹ × 107¹ × 1777¹
LCM(44405,44425) = 394538425