What is the Least Common Multiple of 99171 and 99181?

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 99181 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 99181, than apply into the LCM equation.

GCF(99171,99181) = 1
LCM(99171,99181) = ( 99171 × 99181) / 1
LCM(99171,99181) = 9835878951 / 1
LCM(99171,99181) = 9835878951

Least Common Multiple (LCM) of 99171 and 99181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99171 and 99181. First we will calculate the prime factors of 99171 and 99181.

Prime Factorization of 99171

Prime Factorization of 99181

Now multiplying the highest exponent prime factors to calculate the LCM of 99171 and 99181.

LCM(99171,99181) = 3³ × 3673¹ × 99181¹
LCM(99171,99181) = 9835878951