What is the Least Common Multiple of 6396 and 6400?

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 6396 and 6400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6396 and 6400, than apply into the LCM equation.

GCF(6396,6400) = 4
LCM(6396,6400) = ( 6396 × 6400) / 4
LCM(6396,6400) = 40934400 / 4
LCM(6396,6400) = 10233600

Least Common Multiple (LCM) of 6396 and 6400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6396 and 6400. First we will calculate the prime factors of 6396 and 6400.

Prime Factorization of 6396

Prime Factorization of 6400

Now multiplying the highest exponent prime factors to calculate the LCM of 6396 and 6400.

LCM(6396,6400) = 2⁸ × 3¹ × 13¹ × 41¹ × 5²
LCM(6396,6400) = 10233600