What is the Least Common Multiple of 27330 and 27345?

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 27330 and 27345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27330 and 27345, than apply into the LCM equation.

GCF(27330,27345) = 15
LCM(27330,27345) = ( 27330 × 27345) / 15
LCM(27330,27345) = 747338850 / 15
LCM(27330,27345) = 49822590

Least Common Multiple (LCM) of 27330 and 27345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27330 and 27345. First we will calculate the prime factors of 27330 and 27345.

Prime Factorization of 27330

Prime Factorization of 27345

Now multiplying the highest exponent prime factors to calculate the LCM of 27330 and 27345.

LCM(27330,27345) = 2¹ × 3¹ × 5¹ × 911¹ × 1823¹
LCM(27330,27345) = 49822590