What is the Least Common Multiple of 18294 and 18306?

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 18294 and 18306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18294 and 18306, than apply into the LCM equation.

GCF(18294,18306) = 6
LCM(18294,18306) = ( 18294 × 18306) / 6
LCM(18294,18306) = 334889964 / 6
LCM(18294,18306) = 55814994

Least Common Multiple (LCM) of 18294 and 18306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18294 and 18306. First we will calculate the prime factors of 18294 and 18306.

Prime Factorization of 18294

Prime Factorization of 18306

Now multiplying the highest exponent prime factors to calculate the LCM of 18294 and 18306.

LCM(18294,18306) = 2¹ × 3⁴ × 3049¹ × 113¹
LCM(18294,18306) = 55814994