What is the Least Common Multiple of 99570 and 99585?

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 99585 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 99585, than apply into the LCM equation.

GCF(99570,99585) = 15
LCM(99570,99585) = ( 99570 × 99585) / 15
LCM(99570,99585) = 9915678450 / 15
LCM(99570,99585) = 661045230

Least Common Multiple (LCM) of 99570 and 99585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99570 and 99585. First we will calculate the prime factors of 99570 and 99585.

Prime Factorization of 99570

Prime Factorization of 99585

Now multiplying the highest exponent prime factors to calculate the LCM of 99570 and 99585.

LCM(99570,99585) = 2¹ × 3² × 5¹ × 3319¹ × 2213¹
LCM(99570,99585) = 661045230