What is the Least Common Multiple of 8864 and 8871?

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 8871 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 8871, than apply into the LCM equation.

GCF(8864,8871) = 1
LCM(8864,8871) = ( 8864 × 8871) / 1
LCM(8864,8871) = 78632544 / 1
LCM(8864,8871) = 78632544

Least Common Multiple (LCM) of 8864 and 8871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8864 and 8871. First we will calculate the prime factors of 8864 and 8871.

Prime Factorization of 8864

Prime Factorization of 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 8864 and 8871.

LCM(8864,8871) = 2⁵ × 277¹ × 3¹ × 2957¹
LCM(8864,8871) = 78632544