What is the Least Common Multiple of 44875 and 44885?

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 44885 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 44885, than apply into the LCM equation.

GCF(44875,44885) = 5
LCM(44875,44885) = ( 44875 × 44885) / 5
LCM(44875,44885) = 2014214375 / 5
LCM(44875,44885) = 402842875

Least Common Multiple (LCM) of 44875 and 44885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44875 and 44885. First we will calculate the prime factors of 44875 and 44885.

Prime Factorization of 44875

Prime Factorization of 44885

Now multiplying the highest exponent prime factors to calculate the LCM of 44875 and 44885.

LCM(44875,44885) = 5³ × 359¹ × 47¹ × 191¹
LCM(44875,44885) = 402842875