What is the Least Common Multiple of 90831 and 90837?

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 90831 and 90837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90831 and 90837, than apply into the LCM equation.

GCF(90831,90837) = 3
LCM(90831,90837) = ( 90831 × 90837) / 3
LCM(90831,90837) = 8250815547 / 3
LCM(90831,90837) = 2750271849

Least Common Multiple (LCM) of 90831 and 90837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90831 and 90837. First we will calculate the prime factors of 90831 and 90837.

Prime Factorization of 90831

Prime Factorization of 90837

Now multiplying the highest exponent prime factors to calculate the LCM of 90831 and 90837.

LCM(90831,90837) = 3² × 13¹ × 17¹ × 137¹ × 10093¹
LCM(90831,90837) = 2750271849