What is the Least Common Multiple of 28280 and 28290?

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 28280 and 28290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28280 and 28290, than apply into the LCM equation.

GCF(28280,28290) = 10
LCM(28280,28290) = ( 28280 × 28290) / 10
LCM(28280,28290) = 800041200 / 10
LCM(28280,28290) = 80004120

Least Common Multiple (LCM) of 28280 and 28290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28280 and 28290. First we will calculate the prime factors of 28280 and 28290.

Prime Factorization of 28280

Prime Factorization of 28290

Now multiplying the highest exponent prime factors to calculate the LCM of 28280 and 28290.

LCM(28280,28290) = 2³ × 5¹ × 7¹ × 101¹ × 3¹ × 23¹ × 41¹
LCM(28280,28290) = 80004120