What is the Least Common Multiple of 88875 and 88889?

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 88875 and 88889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88875 and 88889, than apply into the LCM equation.

GCF(88875,88889) = 1
LCM(88875,88889) = ( 88875 × 88889) / 1
LCM(88875,88889) = 7900009875 / 1
LCM(88875,88889) = 7900009875

Least Common Multiple (LCM) of 88875 and 88889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88875 and 88889. First we will calculate the prime factors of 88875 and 88889.

Prime Factorization of 88875

Prime Factorization of 88889

Now multiplying the highest exponent prime factors to calculate the LCM of 88875 and 88889.

LCM(88875,88889) = 3² × 5³ × 79¹ × 103¹ × 863¹
LCM(88875,88889) = 7900009875