What is the Least Common Multiple of 18330 and 18342?

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 18330 and 18342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18330 and 18342, than apply into the LCM equation.

GCF(18330,18342) = 6
LCM(18330,18342) = ( 18330 × 18342) / 6
LCM(18330,18342) = 336208860 / 6
LCM(18330,18342) = 56034810

Least Common Multiple (LCM) of 18330 and 18342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18330 and 18342. First we will calculate the prime factors of 18330 and 18342.

Prime Factorization of 18330

Prime Factorization of 18342

Now multiplying the highest exponent prime factors to calculate the LCM of 18330 and 18342.

LCM(18330,18342) = 2¹ × 3² × 5¹ × 13¹ × 47¹ × 1019¹
LCM(18330,18342) = 56034810