What is the Least Common Multiple of 27228 and 27232?

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 27228 and 27232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27228 and 27232, than apply into the LCM equation.

GCF(27228,27232) = 4
LCM(27228,27232) = ( 27228 × 27232) / 4
LCM(27228,27232) = 741472896 / 4
LCM(27228,27232) = 185368224

Least Common Multiple (LCM) of 27228 and 27232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27228 and 27232. First we will calculate the prime factors of 27228 and 27232.

Prime Factorization of 27228

Prime Factorization of 27232

Now multiplying the highest exponent prime factors to calculate the LCM of 27228 and 27232.

LCM(27228,27232) = 2⁵ × 3¹ × 2269¹ × 23¹ × 37¹
LCM(27228,27232) = 185368224