What is the Least Common Multiple of 99517 and 99531?

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 99517 and 99531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99517 and 99531, than apply into the LCM equation.

GCF(99517,99531) = 1
LCM(99517,99531) = ( 99517 × 99531) / 1
LCM(99517,99531) = 9905026527 / 1
LCM(99517,99531) = 9905026527

Least Common Multiple (LCM) of 99517 and 99531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99517 and 99531. First we will calculate the prime factors of 99517 and 99531.

Prime Factorization of 99517

Prime Factorization of 99531

Now multiplying the highest exponent prime factors to calculate the LCM of 99517 and 99531.

LCM(99517,99531) = 11¹ × 83¹ × 109¹ × 3² × 11059¹
LCM(99517,99531) = 9905026527