What is the Least Common Multiple of 99609 and 99618?

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 99609 and 99618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99609 and 99618, than apply into the LCM equation.

GCF(99609,99618) = 3
LCM(99609,99618) = ( 99609 × 99618) / 3
LCM(99609,99618) = 9922849362 / 3
LCM(99609,99618) = 3307616454

Least Common Multiple (LCM) of 99609 and 99618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99609 and 99618. First we will calculate the prime factors of 99609 and 99618.

Prime Factorization of 99609

Prime Factorization of 99618

Now multiplying the highest exponent prime factors to calculate the LCM of 99609 and 99618.

LCM(99609,99618) = 3¹ × 33203¹ × 2¹ × 16603¹
LCM(99609,99618) = 3307616454