What is the Least Common Multiple of 8856 and 8873?

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 8856 and 8873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8856 and 8873, than apply into the LCM equation.

GCF(8856,8873) = 1
LCM(8856,8873) = ( 8856 × 8873) / 1
LCM(8856,8873) = 78579288 / 1
LCM(8856,8873) = 78579288

Least Common Multiple (LCM) of 8856 and 8873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8856 and 8873. First we will calculate the prime factors of 8856 and 8873.

Prime Factorization of 8856

Prime Factorization of 8873

Now multiplying the highest exponent prime factors to calculate the LCM of 8856 and 8873.

LCM(8856,8873) = 2³ × 3³ × 41¹ × 19¹ × 467¹
LCM(8856,8873) = 78579288