What is the Least Common Multiple of 99552 and 99570?

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 99552 and 99570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99552 and 99570, than apply into the LCM equation.

GCF(99552,99570) = 6
LCM(99552,99570) = ( 99552 × 99570) / 6
LCM(99552,99570) = 9912392640 / 6
LCM(99552,99570) = 1652065440

Least Common Multiple (LCM) of 99552 and 99570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99552 and 99570. First we will calculate the prime factors of 99552 and 99570.

Prime Factorization of 99552

Prime Factorization of 99570

Now multiplying the highest exponent prime factors to calculate the LCM of 99552 and 99570.

LCM(99552,99570) = 2⁵ × 3¹ × 17¹ × 61¹ × 5¹ × 3319¹
LCM(99552,99570) = 1652065440