What is the Least Common Multiple of 99625 and 99643?

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 99625 and 99643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99625 and 99643, than apply into the LCM equation.

GCF(99625,99643) = 1
LCM(99625,99643) = ( 99625 × 99643) / 1
LCM(99625,99643) = 9926933875 / 1
LCM(99625,99643) = 9926933875

Least Common Multiple (LCM) of 99625 and 99643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99625 and 99643. First we will calculate the prime factors of 99625 and 99643.

Prime Factorization of 99625

Prime Factorization of 99643

Now multiplying the highest exponent prime factors to calculate the LCM of 99625 and 99643.

LCM(99625,99643) = 5³ × 797¹ × 99643¹
LCM(99625,99643) = 9926933875