What is the Least Common Multiple of 27224 and 27236?

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 27236 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 27236, than apply into the LCM equation.

GCF(27224,27236) = 4
LCM(27224,27236) = ( 27224 × 27236) / 4
LCM(27224,27236) = 741472864 / 4
LCM(27224,27236) = 185368216

Least Common Multiple (LCM) of 27224 and 27236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27224 and 27236. First we will calculate the prime factors of 27224 and 27236.

Prime Factorization of 27224

Prime Factorization of 27236

Now multiplying the highest exponent prime factors to calculate the LCM of 27224 and 27236.

LCM(27224,27236) = 2³ × 41¹ × 83¹ × 11¹ × 619¹
LCM(27224,27236) = 185368216