What is the Least Common Multiple of 99585 and 99594?

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 99585 and 99594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99585 and 99594, than apply into the LCM equation.

GCF(99585,99594) = 9
LCM(99585,99594) = ( 99585 × 99594) / 9
LCM(99585,99594) = 9918068490 / 9
LCM(99585,99594) = 1102007610

Least Common Multiple (LCM) of 99585 and 99594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99585 and 99594. First we will calculate the prime factors of 99585 and 99594.

Prime Factorization of 99585

Prime Factorization of 99594

Now multiplying the highest exponent prime factors to calculate the LCM of 99585 and 99594.

LCM(99585,99594) = 3² × 5¹ × 2213¹ × 2¹ × 11¹ × 503¹
LCM(99585,99594) = 1102007610