What is the Least Common Multiple of 99576 and 99581?

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 99581 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 99581, than apply into the LCM equation.

GCF(99576,99581) = 1
LCM(99576,99581) = ( 99576 × 99581) / 1
LCM(99576,99581) = 9915877656 / 1
LCM(99576,99581) = 9915877656

Least Common Multiple (LCM) of 99576 and 99581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99576 and 99581. First we will calculate the prime factors of 99576 and 99581.

Prime Factorization of 99576

Prime Factorization of 99581

Now multiplying the highest exponent prime factors to calculate the LCM of 99576 and 99581.

LCM(99576,99581) = 2³ × 3³ × 461¹ × 99581¹
LCM(99576,99581) = 9915877656