What is the Least Common Multiple of 99176 and 99187?

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 99176 and 99187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99176 and 99187, than apply into the LCM equation.

GCF(99176,99187) = 11
LCM(99176,99187) = ( 99176 × 99187) / 11
LCM(99176,99187) = 9836969912 / 11
LCM(99176,99187) = 894269992

Least Common Multiple (LCM) of 99176 and 99187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99176 and 99187. First we will calculate the prime factors of 99176 and 99187.

Prime Factorization of 99176

Prime Factorization of 99187

Now multiplying the highest exponent prime factors to calculate the LCM of 99176 and 99187.

LCM(99176,99187) = 2³ × 7² × 11¹ × 23¹ × 71¹ × 127¹
LCM(99176,99187) = 894269992