What is the Least Common Multiple of 74875 and 74889?

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 74875 and 74889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74875 and 74889, than apply into the LCM equation.

GCF(74875,74889) = 1
LCM(74875,74889) = ( 74875 × 74889) / 1
LCM(74875,74889) = 5607313875 / 1
LCM(74875,74889) = 5607313875

Least Common Multiple (LCM) of 74875 and 74889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74875 and 74889. First we will calculate the prime factors of 74875 and 74889.

Prime Factorization of 74875

Prime Factorization of 74889

Now multiplying the highest exponent prime factors to calculate the LCM of 74875 and 74889.

LCM(74875,74889) = 5³ × 599¹ × 3² × 53¹ × 157¹
LCM(74875,74889) = 5607313875