What is the Least Common Multiple of 27264 and 27284?

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 27284 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 27284, than apply into the LCM equation.

GCF(27264,27284) = 4
LCM(27264,27284) = ( 27264 × 27284) / 4
LCM(27264,27284) = 743870976 / 4
LCM(27264,27284) = 185967744

Least Common Multiple (LCM) of 27264 and 27284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27264 and 27284. First we will calculate the prime factors of 27264 and 27284.

Prime Factorization of 27264

Prime Factorization of 27284

Now multiplying the highest exponent prime factors to calculate the LCM of 27264 and 27284.

LCM(27264,27284) = 2⁷ × 3¹ × 71¹ × 19¹ × 359¹
LCM(27264,27284) = 185967744