What is the Least Common Multiple of 8864 and 8875?

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 8864 and 8875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8864 and 8875, than apply into the LCM equation.

GCF(8864,8875) = 1
LCM(8864,8875) = ( 8864 × 8875) / 1
LCM(8864,8875) = 78668000 / 1
LCM(8864,8875) = 78668000

Least Common Multiple (LCM) of 8864 and 8875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8864 and 8875. First we will calculate the prime factors of 8864 and 8875.

Prime Factorization of 8864

Prime Factorization of 8875

Now multiplying the highest exponent prime factors to calculate the LCM of 8864 and 8875.

LCM(8864,8875) = 2⁵ × 277¹ × 5³ × 71¹
LCM(8864,8875) = 78668000