What is the Least Common Multiple of 99852 and 99872?

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 99852 and 99872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99852 and 99872, than apply into the LCM equation.

GCF(99852,99872) = 4
LCM(99852,99872) = ( 99852 × 99872) / 4
LCM(99852,99872) = 9972418944 / 4
LCM(99852,99872) = 2493104736

Least Common Multiple (LCM) of 99852 and 99872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99852 and 99872. First we will calculate the prime factors of 99852 and 99872.

Prime Factorization of 99852

Prime Factorization of 99872

Now multiplying the highest exponent prime factors to calculate the LCM of 99852 and 99872.

LCM(99852,99872) = 2⁵ × 3¹ × 53¹ × 157¹ × 3121¹
LCM(99852,99872) = 2493104736