What is the Least Common Multiple of 96396 and 96400?

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 96396 and 96400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96396 and 96400, than apply into the LCM equation.

GCF(96396,96400) = 4
LCM(96396,96400) = ( 96396 × 96400) / 4
LCM(96396,96400) = 9292574400 / 4
LCM(96396,96400) = 2323143600

Least Common Multiple (LCM) of 96396 and 96400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96396 and 96400. First we will calculate the prime factors of 96396 and 96400.

Prime Factorization of 96396

Prime Factorization of 96400

Now multiplying the highest exponent prime factors to calculate the LCM of 96396 and 96400.

LCM(96396,96400) = 2⁴ × 3¹ × 29¹ × 277¹ × 5² × 241¹
LCM(96396,96400) = 2323143600