What is the Least Common Multiple of 27345 and 27360?

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 27345 and 27360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27345 and 27360, than apply into the LCM equation.

GCF(27345,27360) = 15
LCM(27345,27360) = ( 27345 × 27360) / 15
LCM(27345,27360) = 748159200 / 15
LCM(27345,27360) = 49877280

Least Common Multiple (LCM) of 27345 and 27360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27345 and 27360. First we will calculate the prime factors of 27345 and 27360.

Prime Factorization of 27345

Prime Factorization of 27360

Now multiplying the highest exponent prime factors to calculate the LCM of 27345 and 27360.

LCM(27345,27360) = 3² × 5¹ × 1823¹ × 2⁵ × 19¹
LCM(27345,27360) = 49877280