What is the Least Common Multiple of 8916 and 8936?

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 8916 and 8936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8916 and 8936, than apply into the LCM equation.

GCF(8916,8936) = 4
LCM(8916,8936) = ( 8916 × 8936) / 4
LCM(8916,8936) = 79673376 / 4
LCM(8916,8936) = 19918344

Least Common Multiple (LCM) of 8916 and 8936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8916 and 8936. First we will calculate the prime factors of 8916 and 8936.

Prime Factorization of 8916

Prime Factorization of 8936

Now multiplying the highest exponent prime factors to calculate the LCM of 8916 and 8936.

LCM(8916,8936) = 2³ × 3¹ × 743¹ × 1117¹
LCM(8916,8936) = 19918344