What is the Least Common Multiple of 28284 and 28300?

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 28284 and 28300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28284 and 28300, than apply into the LCM equation.

GCF(28284,28300) = 4
LCM(28284,28300) = ( 28284 × 28300) / 4
LCM(28284,28300) = 800437200 / 4
LCM(28284,28300) = 200109300

Least Common Multiple (LCM) of 28284 and 28300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28284 and 28300. First we will calculate the prime factors of 28284 and 28300.

Prime Factorization of 28284

Prime Factorization of 28300

Now multiplying the highest exponent prime factors to calculate the LCM of 28284 and 28300.

LCM(28284,28300) = 2² × 3¹ × 2357¹ × 5² × 283¹
LCM(28284,28300) = 200109300