What is the Least Common Multiple of 96365 and 96381?

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 96365 and 96381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96365 and 96381, than apply into the LCM equation.

GCF(96365,96381) = 1
LCM(96365,96381) = ( 96365 × 96381) / 1
LCM(96365,96381) = 9287755065 / 1
LCM(96365,96381) = 9287755065

Least Common Multiple (LCM) of 96365 and 96381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96365 and 96381. First we will calculate the prime factors of 96365 and 96381.

Prime Factorization of 96365

Prime Factorization of 96381

Now multiplying the highest exponent prime factors to calculate the LCM of 96365 and 96381.

LCM(96365,96381) = 5¹ × 19273¹ × 3² × 10709¹
LCM(96365,96381) = 9287755065