What is the Least Common Multiple of 99117 and 99132?

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 99117 and 99132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99117 and 99132, than apply into the LCM equation.

GCF(99117,99132) = 3
LCM(99117,99132) = ( 99117 × 99132) / 3
LCM(99117,99132) = 9825666444 / 3
LCM(99117,99132) = 3275222148

Least Common Multiple (LCM) of 99117 and 99132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99117 and 99132. First we will calculate the prime factors of 99117 and 99132.

Prime Factorization of 99117

Prime Factorization of 99132

Now multiplying the highest exponent prime factors to calculate the LCM of 99117 and 99132.

LCM(99117,99132) = 3³ × 3671¹ × 2² × 11¹ × 751¹
LCM(99117,99132) = 3275222148