What is the Least Common Multiple of 8864 and 8881?

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 8881 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 8881, than apply into the LCM equation.

GCF(8864,8881) = 1
LCM(8864,8881) = ( 8864 × 8881) / 1
LCM(8864,8881) = 78721184 / 1
LCM(8864,8881) = 78721184

Least Common Multiple (LCM) of 8864 and 8881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8864 and 8881. First we will calculate the prime factors of 8864 and 8881.

Prime Factorization of 8864

Prime Factorization of 8881

Now multiplying the highest exponent prime factors to calculate the LCM of 8864 and 8881.

LCM(8864,8881) = 2⁵ × 277¹ × 83¹ × 107¹
LCM(8864,8881) = 78721184