What is the Least Common Multiple of 99144 and 99162?

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 99144 and 99162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99144 and 99162, than apply into the LCM equation.

GCF(99144,99162) = 18
LCM(99144,99162) = ( 99144 × 99162) / 18
LCM(99144,99162) = 9831317328 / 18
LCM(99144,99162) = 546184296

Least Common Multiple (LCM) of 99144 and 99162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99144 and 99162. First we will calculate the prime factors of 99144 and 99162.

Prime Factorization of 99144

Prime Factorization of 99162

Now multiplying the highest exponent prime factors to calculate the LCM of 99144 and 99162.

LCM(99144,99162) = 2³ × 3⁶ × 17¹ × 7¹ × 787¹
LCM(99144,99162) = 546184296