What is the Least Common Multiple of 99837 and 99852?

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 99837 and 99852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99837 and 99852, than apply into the LCM equation.

GCF(99837,99852) = 3
LCM(99837,99852) = ( 99837 × 99852) / 3
LCM(99837,99852) = 9968924124 / 3
LCM(99837,99852) = 3322974708

Least Common Multiple (LCM) of 99837 and 99852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99837 and 99852. First we will calculate the prime factors of 99837 and 99852.

Prime Factorization of 99837

Prime Factorization of 99852

Now multiplying the highest exponent prime factors to calculate the LCM of 99837 and 99852.

LCM(99837,99852) = 3² × 11093¹ × 2² × 53¹ × 157¹
LCM(99837,99852) = 3322974708