What is the Least Common Multiple of 28500 and 28514?

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 28500 and 28514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28500 and 28514, than apply into the LCM equation.

GCF(28500,28514) = 2
LCM(28500,28514) = ( 28500 × 28514) / 2
LCM(28500,28514) = 812649000 / 2
LCM(28500,28514) = 406324500

Least Common Multiple (LCM) of 28500 and 28514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28500 and 28514. First we will calculate the prime factors of 28500 and 28514.

Prime Factorization of 28500

Prime Factorization of 28514

Now multiplying the highest exponent prime factors to calculate the LCM of 28500 and 28514.

LCM(28500,28514) = 2² × 3¹ × 5³ × 19¹ × 53¹ × 269¹
LCM(28500,28514) = 406324500