What is the Least Common Multiple of 96831 and 96837?

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 96831 and 96837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96831 and 96837, than apply into the LCM equation.

GCF(96831,96837) = 3
LCM(96831,96837) = ( 96831 × 96837) / 3
LCM(96831,96837) = 9376823547 / 3
LCM(96831,96837) = 3125607849

Least Common Multiple (LCM) of 96831 and 96837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96831 and 96837. First we will calculate the prime factors of 96831 and 96837.

Prime Factorization of 96831

Prime Factorization of 96837

Now multiplying the highest exponent prime factors to calculate the LCM of 96831 and 96837.

LCM(96831,96837) = 3² × 7¹ × 29¹ × 53¹ × 13² × 191¹
LCM(96831,96837) = 3125607849