What is the Least Common Multiple of 18396 and 18400?

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 18396 and 18400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18396 and 18400, than apply into the LCM equation.

GCF(18396,18400) = 4
LCM(18396,18400) = ( 18396 × 18400) / 4
LCM(18396,18400) = 338486400 / 4
LCM(18396,18400) = 84621600

Least Common Multiple (LCM) of 18396 and 18400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18396 and 18400. First we will calculate the prime factors of 18396 and 18400.

Prime Factorization of 18396

Prime Factorization of 18400

Now multiplying the highest exponent prime factors to calculate the LCM of 18396 and 18400.

LCM(18396,18400) = 2⁵ × 3² × 7¹ × 73¹ × 5² × 23¹
LCM(18396,18400) = 84621600