What is the Least Common Multiple of 22389 and 22400?

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 22389 and 22400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22389 and 22400, than apply into the LCM equation.

GCF(22389,22400) = 1
LCM(22389,22400) = ( 22389 × 22400) / 1
LCM(22389,22400) = 501513600 / 1
LCM(22389,22400) = 501513600

Least Common Multiple (LCM) of 22389 and 22400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22389 and 22400. First we will calculate the prime factors of 22389 and 22400.

Prime Factorization of 22389

Prime Factorization of 22400

Now multiplying the highest exponent prime factors to calculate the LCM of 22389 and 22400.

LCM(22389,22400) = 3¹ × 17¹ × 439¹ × 2⁷ × 5² × 7¹
LCM(22389,22400) = 501513600