What is the Least Common Multiple of 99591 and 99597?

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 99591 and 99597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99591 and 99597, than apply into the LCM equation.

GCF(99591,99597) = 3
LCM(99591,99597) = ( 99591 × 99597) / 3
LCM(99591,99597) = 9918964827 / 3
LCM(99591,99597) = 3306321609

Least Common Multiple (LCM) of 99591 and 99597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99591 and 99597. First we will calculate the prime factors of 99591 and 99597.

Prime Factorization of 99591

Prime Factorization of 99597

Now multiplying the highest exponent prime factors to calculate the LCM of 99591 and 99597.

LCM(99591,99597) = 3¹ × 89¹ × 373¹ × 33199¹
LCM(99591,99597) = 3306321609