What is the Least Common Multiple of 99171 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 99171 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 99171 and 99187, than apply into the LCM equation.

GCF(99171,99187) = 1
LCM(99171,99187) = ( 99171 × 99187) / 1
LCM(99171,99187) = 9836473977 / 1
LCM(99171,99187) = 9836473977

Least Common Multiple (LCM) of 99171 and 99187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99171 and 99187. First we will calculate the prime factors of 99171 and 99187.

Prime Factorization of 99171

Prime Factorization of 99187

Now multiplying the highest exponent prime factors to calculate the LCM of 99171 and 99187.

LCM(99171,99187) = 3³ × 3673¹ × 11¹ × 71¹ × 127¹
LCM(99171,99187) = 9836473977