What is the Least Common Multiple of 99845 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 99845 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 99845 and 99852, than apply into the LCM equation.

GCF(99845,99852) = 1
LCM(99845,99852) = ( 99845 × 99852) / 1
LCM(99845,99852) = 9969722940 / 1
LCM(99845,99852) = 9969722940

Least Common Multiple (LCM) of 99845 and 99852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99845 and 99852. First we will calculate the prime factors of 99845 and 99852.

Prime Factorization of 99845

Prime Factorization of 99852

Now multiplying the highest exponent prime factors to calculate the LCM of 99845 and 99852.

LCM(99845,99852) = 5¹ × 19¹ × 1051¹ × 2² × 3¹ × 53¹ × 157¹
LCM(99845,99852) = 9969722940