What is the Least Common Multiple of 99183 and 99192?

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 99183 and 99192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99183 and 99192, than apply into the LCM equation.

GCF(99183,99192) = 3
LCM(99183,99192) = ( 99183 × 99192) / 3
LCM(99183,99192) = 9838160136 / 3
LCM(99183,99192) = 3279386712

Least Common Multiple (LCM) of 99183 and 99192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99183 and 99192. First we will calculate the prime factors of 99183 and 99192.

Prime Factorization of 99183

Prime Factorization of 99192

Now multiplying the highest exponent prime factors to calculate the LCM of 99183 and 99192.

LCM(99183,99192) = 3¹ × 7¹ × 4723¹ × 2³ × 4133¹
LCM(99183,99192) = 3279386712