What is the Least Common Multiple of 28194 and 28200?

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 28194 and 28200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28194 and 28200, than apply into the LCM equation.

GCF(28194,28200) = 6
LCM(28194,28200) = ( 28194 × 28200) / 6
LCM(28194,28200) = 795070800 / 6
LCM(28194,28200) = 132511800

Least Common Multiple (LCM) of 28194 and 28200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28194 and 28200. First we will calculate the prime factors of 28194 and 28200.

Prime Factorization of 28194

Prime Factorization of 28200

Now multiplying the highest exponent prime factors to calculate the LCM of 28194 and 28200.

LCM(28194,28200) = 2³ × 3¹ × 37¹ × 127¹ × 5² × 47¹
LCM(28194,28200) = 132511800