What is the Least Common Multiple of 28290 and 28296?

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 28290 and 28296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28290 and 28296, than apply into the LCM equation.

GCF(28290,28296) = 6
LCM(28290,28296) = ( 28290 × 28296) / 6
LCM(28290,28296) = 800493840 / 6
LCM(28290,28296) = 133415640

Least Common Multiple (LCM) of 28290 and 28296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28290 and 28296. First we will calculate the prime factors of 28290 and 28296.

Prime Factorization of 28290

Prime Factorization of 28296

Now multiplying the highest exponent prime factors to calculate the LCM of 28290 and 28296.

LCM(28290,28296) = 2³ × 3³ × 5¹ × 23¹ × 41¹ × 131¹
LCM(28290,28296) = 133415640