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What is the Least Common Multiple of 18466 and 18474?

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 18466 and 18474 is 170570442.

LCM(18466,18474) = 170570442

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Least Common Multiple of 18466 and 18474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18466 and 18474, than apply into the LCM equation.

GCF(18466,18474) = 2
LCM(18466,18474) = ( 18466 × 18474) / 2
LCM(18466,18474) = 341140884 / 2
LCM(18466,18474) = 170570442

Least Common Multiple (LCM) of 18466 and 18474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18466 and 18474. First we will calculate the prime factors of 18466 and 18474.

Prime Factorization of 18466

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

18466 = 21 × 71 × 13191

Prime Factorization of 18474

Prime factors of 18474 are 2, 3, 3079. Prime factorization of 18474 in exponential form is:

18474 = 21 × 31 × 30791

Now multiplying the highest exponent prime factors to calculate the LCM of 18466 and 18474.

LCM(18466,18474) = 21 × 71 × 13191 × 31 × 30791
LCM(18466,18474) = 170570442