What is the Least Common Multiple of 93096 and 93116?

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 93096 and 93116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93096 and 93116, than apply into the LCM equation.

GCF(93096,93116) = 4
LCM(93096,93116) = ( 93096 × 93116) / 4
LCM(93096,93116) = 8668727136 / 4
LCM(93096,93116) = 2167181784

Least Common Multiple (LCM) of 93096 and 93116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93096 and 93116. First we will calculate the prime factors of 93096 and 93116.

Prime Factorization of 93096

Prime Factorization of 93116

Now multiplying the highest exponent prime factors to calculate the LCM of 93096 and 93116.

LCM(93096,93116) = 2³ × 3³ × 431¹ × 23279¹
LCM(93096,93116) = 2167181784