What is the Least Common Multiple of 27224 and 27238?

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 27224 and 27238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27224 and 27238, than apply into the LCM equation.

GCF(27224,27238) = 2
LCM(27224,27238) = ( 27224 × 27238) / 2
LCM(27224,27238) = 741527312 / 2
LCM(27224,27238) = 370763656

Least Common Multiple (LCM) of 27224 and 27238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27224 and 27238. First we will calculate the prime factors of 27224 and 27238.

Prime Factorization of 27224

Prime Factorization of 27238

Now multiplying the highest exponent prime factors to calculate the LCM of 27224 and 27238.

LCM(27224,27238) = 2³ × 41¹ × 83¹ × 13619¹
LCM(27224,27238) = 370763656