What is the Least Common Multiple of 99509 and 99513?

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 99509 and 99513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99509 and 99513, than apply into the LCM equation.

GCF(99509,99513) = 1
LCM(99509,99513) = ( 99509 × 99513) / 1
LCM(99509,99513) = 9902439117 / 1
LCM(99509,99513) = 9902439117

Least Common Multiple (LCM) of 99509 and 99513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99509 and 99513. First we will calculate the prime factors of 99509 and 99513.

Prime Factorization of 99509

Prime Factorization of 99513

Now multiplying the highest exponent prime factors to calculate the LCM of 99509 and 99513.

LCM(99509,99513) = 151¹ × 659¹ × 3² × 11057¹
LCM(99509,99513) = 9902439117