What is the Least Common Multiple of 20384 and 20400?

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 20384 and 20400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20384 and 20400, than apply into the LCM equation.

GCF(20384,20400) = 16
LCM(20384,20400) = ( 20384 × 20400) / 16
LCM(20384,20400) = 415833600 / 16
LCM(20384,20400) = 25989600

Least Common Multiple (LCM) of 20384 and 20400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20384 and 20400. First we will calculate the prime factors of 20384 and 20400.

Prime Factorization of 20384

Prime Factorization of 20400

Now multiplying the highest exponent prime factors to calculate the LCM of 20384 and 20400.

LCM(20384,20400) = 2⁵ × 7² × 13¹ × 3¹ × 5² × 17¹
LCM(20384,20400) = 25989600