What is the Least Common Multiple of 28272 and 28287?

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 28272 and 28287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28272 and 28287, than apply into the LCM equation.

GCF(28272,28287) = 3
LCM(28272,28287) = ( 28272 × 28287) / 3
LCM(28272,28287) = 799730064 / 3
LCM(28272,28287) = 266576688

Least Common Multiple (LCM) of 28272 and 28287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28272 and 28287. First we will calculate the prime factors of 28272 and 28287.

Prime Factorization of 28272

Prime Factorization of 28287

Now multiplying the highest exponent prime factors to calculate the LCM of 28272 and 28287.

LCM(28272,28287) = 2⁴ × 3² × 19¹ × 31¹ × 7¹ × 449¹
LCM(28272,28287) = 266576688