What is the Least Common Multiple of 96493 and 96500?

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 96493 and 96500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96493 and 96500, than apply into the LCM equation.

GCF(96493,96500) = 1
LCM(96493,96500) = ( 96493 × 96500) / 1
LCM(96493,96500) = 9311574500 / 1
LCM(96493,96500) = 9311574500

Least Common Multiple (LCM) of 96493 and 96500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96493 and 96500. First we will calculate the prime factors of 96493 and 96500.

Prime Factorization of 96493

Prime Factorization of 96500

Now multiplying the highest exponent prime factors to calculate the LCM of 96493 and 96500.

LCM(96493,96500) = 96493¹ × 2² × 5³ × 193¹
LCM(96493,96500) = 9311574500