What is the Least Common Multiple of 96355 and 96365?

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 96355 and 96365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96355 and 96365, than apply into the LCM equation.

GCF(96355,96365) = 5
LCM(96355,96365) = ( 96355 × 96365) / 5
LCM(96355,96365) = 9285249575 / 5
LCM(96355,96365) = 1857049915

Least Common Multiple (LCM) of 96355 and 96365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96355 and 96365. First we will calculate the prime factors of 96355 and 96365.

Prime Factorization of 96355

Prime Factorization of 96365

Now multiplying the highest exponent prime factors to calculate the LCM of 96355 and 96365.

LCM(96355,96365) = 5¹ × 7¹ × 2753¹ × 19273¹
LCM(96355,96365) = 1857049915