What is the Least Common Multiple of 27306 and 27321?

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 27306 and 27321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27306 and 27321, than apply into the LCM equation.

GCF(27306,27321) = 3
LCM(27306,27321) = ( 27306 × 27321) / 3
LCM(27306,27321) = 746027226 / 3
LCM(27306,27321) = 248675742

Least Common Multiple (LCM) of 27306 and 27321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27306 and 27321. First we will calculate the prime factors of 27306 and 27321.

Prime Factorization of 27306

Prime Factorization of 27321

Now multiplying the highest exponent prime factors to calculate the LCM of 27306 and 27321.

LCM(27306,27321) = 2¹ × 3² × 37¹ × 41¹ × 7¹ × 1301¹
LCM(27306,27321) = 248675742