What is the Least Common Multiple of 99570 and 99576?

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 99570 and 99576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99570 and 99576, than apply into the LCM equation.

GCF(99570,99576) = 6
LCM(99570,99576) = ( 99570 × 99576) / 6
LCM(99570,99576) = 9914782320 / 6
LCM(99570,99576) = 1652463720

Least Common Multiple (LCM) of 99570 and 99576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99570 and 99576. First we will calculate the prime factors of 99570 and 99576.

Prime Factorization of 99570

Prime Factorization of 99576

Now multiplying the highest exponent prime factors to calculate the LCM of 99570 and 99576.

LCM(99570,99576) = 2³ × 3³ × 5¹ × 3319¹ × 461¹
LCM(99570,99576) = 1652463720