What is the Least Common Multiple of 93096 and 93107?

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 93107 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 93107, than apply into the LCM equation.

GCF(93096,93107) = 1
LCM(93096,93107) = ( 93096 × 93107) / 1
LCM(93096,93107) = 8667889272 / 1
LCM(93096,93107) = 8667889272

Least Common Multiple (LCM) of 93096 and 93107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93096 and 93107. First we will calculate the prime factors of 93096 and 93107.

Prime Factorization of 93096

Prime Factorization of 93107

Now multiplying the highest exponent prime factors to calculate the LCM of 93096 and 93107.

LCM(93096,93107) = 2³ × 3³ × 431¹ × 7¹ × 47¹ × 283¹
LCM(93096,93107) = 8667889272