What is the Least Common Multiple of 18258 and 18274?

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 18258 and 18274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18258 and 18274, than apply into the LCM equation.

GCF(18258,18274) = 2
LCM(18258,18274) = ( 18258 × 18274) / 2
LCM(18258,18274) = 333646692 / 2
LCM(18258,18274) = 166823346

Least Common Multiple (LCM) of 18258 and 18274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18258 and 18274. First we will calculate the prime factors of 18258 and 18274.

Prime Factorization of 18258

Prime Factorization of 18274

Now multiplying the highest exponent prime factors to calculate the LCM of 18258 and 18274.

LCM(18258,18274) = 2¹ × 3¹ × 17¹ × 179¹ × 9137¹
LCM(18258,18274) = 166823346