What is the Least Common Multiple of 27264 and 27281?

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 27264 and 27281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27264 and 27281, than apply into the LCM equation.

GCF(27264,27281) = 1
LCM(27264,27281) = ( 27264 × 27281) / 1
LCM(27264,27281) = 743789184 / 1
LCM(27264,27281) = 743789184

Least Common Multiple (LCM) of 27264 and 27281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27264 and 27281. First we will calculate the prime factors of 27264 and 27281.

Prime Factorization of 27264

Prime Factorization of 27281

Now multiplying the highest exponent prime factors to calculate the LCM of 27264 and 27281.

LCM(27264,27281) = 2⁷ × 3¹ × 71¹ × 27281¹
LCM(27264,27281) = 743789184