What is the Least Common Multiple of 99121 and 99139?

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 99121 and 99139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99121 and 99139, than apply into the LCM equation.

GCF(99121,99139) = 1
LCM(99121,99139) = ( 99121 × 99139) / 1
LCM(99121,99139) = 9826756819 / 1
LCM(99121,99139) = 9826756819

Least Common Multiple (LCM) of 99121 and 99139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99121 and 99139. First we will calculate the prime factors of 99121 and 99139.

Prime Factorization of 99121

Prime Factorization of 99139

Now multiplying the highest exponent prime factors to calculate the LCM of 99121 and 99139.

LCM(99121,99139) = 11¹ × 9011¹ × 99139¹
LCM(99121,99139) = 9826756819