What is the Least Common Multiple of 8875 and 8893?

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 8875 and 8893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8875 and 8893, than apply into the LCM equation.

GCF(8875,8893) = 1
LCM(8875,8893) = ( 8875 × 8893) / 1
LCM(8875,8893) = 78925375 / 1
LCM(8875,8893) = 78925375

Least Common Multiple (LCM) of 8875 and 8893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8875 and 8893. First we will calculate the prime factors of 8875 and 8893.

Prime Factorization of 8875

Prime Factorization of 8893

Now multiplying the highest exponent prime factors to calculate the LCM of 8875 and 8893.

LCM(8875,8893) = 5³ × 71¹ × 8893¹
LCM(8875,8893) = 78925375