What is the Least Common Multiple of 28200 and 28204?

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 28200 and 28204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28200 and 28204, than apply into the LCM equation.

GCF(28200,28204) = 4
LCM(28200,28204) = ( 28200 × 28204) / 4
LCM(28200,28204) = 795352800 / 4
LCM(28200,28204) = 198838200

Least Common Multiple (LCM) of 28200 and 28204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28200 and 28204. First we will calculate the prime factors of 28200 and 28204.

Prime Factorization of 28200

Prime Factorization of 28204

Now multiplying the highest exponent prime factors to calculate the LCM of 28200 and 28204.

LCM(28200,28204) = 2³ × 3¹ × 5² × 47¹ × 11¹ × 641¹
LCM(28200,28204) = 198838200