What is the Least Common Multiple of 99831 and 99837?

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 99831 and 99837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99831 and 99837, than apply into the LCM equation.

GCF(99831,99837) = 3
LCM(99831,99837) = ( 99831 × 99837) / 3
LCM(99831,99837) = 9966827547 / 3
LCM(99831,99837) = 3322275849

Least Common Multiple (LCM) of 99831 and 99837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99831 and 99837. First we will calculate the prime factors of 99831 and 99837.

Prime Factorization of 99831

Prime Factorization of 99837

Now multiplying the highest exponent prime factors to calculate the LCM of 99831 and 99837.

LCM(99831,99837) = 3² × 107¹ × 311¹ × 11093¹
LCM(99831,99837) = 3322275849