What is the Least Common Multiple of 27204 and 27223?

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 27204 and 27223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27204 and 27223, than apply into the LCM equation.

GCF(27204,27223) = 1
LCM(27204,27223) = ( 27204 × 27223) / 1
LCM(27204,27223) = 740574492 / 1
LCM(27204,27223) = 740574492

Least Common Multiple (LCM) of 27204 and 27223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27204 and 27223. First we will calculate the prime factors of 27204 and 27223.

Prime Factorization of 27204

Prime Factorization of 27223

Now multiplying the highest exponent prime factors to calculate the LCM of 27204 and 27223.

LCM(27204,27223) = 2² × 3¹ × 2267¹ × 7¹ × 3889¹
LCM(27204,27223) = 740574492