What is the Least Common Multiple of 96824 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 96824 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 96824 and 96837, than apply into the LCM equation.

GCF(96824,96837) = 13
LCM(96824,96837) = ( 96824 × 96837) / 13
LCM(96824,96837) = 9376145688 / 13
LCM(96824,96837) = 721241976

Least Common Multiple (LCM) of 96824 and 96837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96824 and 96837. First we will calculate the prime factors of 96824 and 96837.

Prime Factorization of 96824

Prime Factorization of 96837

Now multiplying the highest exponent prime factors to calculate the LCM of 96824 and 96837.

LCM(96824,96837) = 2³ × 7² × 13² × 19¹ × 3¹ × 191¹
LCM(96824,96837) = 721241976