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What is the Least Common Multiple of 18450 and 18466?

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 (LCM) of 18450 and 18466 is 170348850.

LCM(18450,18466) = 170348850

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Least Common Multiple of 18450 and 18466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18450 and 18466, than apply into the LCM equation.

GCF(18450,18466) = 2
LCM(18450,18466) = ( 18450 × 18466) / 2
LCM(18450,18466) = 340697700 / 2
LCM(18450,18466) = 170348850

Least Common Multiple (LCM) of 18450 and 18466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18450 and 18466. First we will calculate the prime factors of 18450 and 18466.

Prime Factorization of 18450

Prime factors of 18450 are 2, 3, 5, 41. Prime factorization of 18450 in exponential form is:

18450 = 21 × 32 × 52 × 411

Prime Factorization of 18466

Prime factors of 18466 are 2, 7, 1319. Prime factorization of 18466 in exponential form is:

18466 = 21 × 71 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 18450 and 18466.

LCM(18450,18466) = 21 × 32 × 52 × 411 × 71 × 13191
LCM(18450,18466) = 170348850