What is the Least Common Multiple of 44875 and 44895?

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 44875 and 44895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44875 and 44895, than apply into the LCM equation.

GCF(44875,44895) = 5
LCM(44875,44895) = ( 44875 × 44895) / 5
LCM(44875,44895) = 2014663125 / 5
LCM(44875,44895) = 402932625

Least Common Multiple (LCM) of 44875 and 44895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44875 and 44895. First we will calculate the prime factors of 44875 and 44895.

Prime Factorization of 44875

Prime Factorization of 44895

Now multiplying the highest exponent prime factors to calculate the LCM of 44875 and 44895.

LCM(44875,44895) = 5³ × 359¹ × 3¹ × 41¹ × 73¹
LCM(44875,44895) = 402932625