What is the Least Common Multiple of 27206 and 27224?

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 27206 and 27224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27206 and 27224, than apply into the LCM equation.

GCF(27206,27224) = 2
LCM(27206,27224) = ( 27206 × 27224) / 2
LCM(27206,27224) = 740656144 / 2
LCM(27206,27224) = 370328072

Least Common Multiple (LCM) of 27206 and 27224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27206 and 27224. First we will calculate the prime factors of 27206 and 27224.

Prime Factorization of 27206

Prime Factorization of 27224

Now multiplying the highest exponent prime factors to calculate the LCM of 27206 and 27224.

LCM(27206,27224) = 2³ × 61¹ × 223¹ × 41¹ × 83¹
LCM(27206,27224) = 370328072