What is the Least Common Multiple of 99576 and 99589?

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 99576 and 99589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99576 and 99589, than apply into the LCM equation.

GCF(99576,99589) = 1
LCM(99576,99589) = ( 99576 × 99589) / 1
LCM(99576,99589) = 9916674264 / 1
LCM(99576,99589) = 9916674264

Least Common Multiple (LCM) of 99576 and 99589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99576 and 99589. First we will calculate the prime factors of 99576 and 99589.

Prime Factorization of 99576

Prime Factorization of 99589

Now multiplying the highest exponent prime factors to calculate the LCM of 99576 and 99589.

LCM(99576,99589) = 2³ × 3³ × 461¹ × 7¹ × 41¹ × 347¹
LCM(99576,99589) = 9916674264