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What is the Least Common Multiple of 18340 and 18354?

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 18340 and 18354 is 24043740.

LCM(18340,18354) = 24043740

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Least Common Multiple of 18340 and 18354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18340 and 18354, than apply into the LCM equation.

GCF(18340,18354) = 14
LCM(18340,18354) = ( 18340 × 18354) / 14
LCM(18340,18354) = 336612360 / 14
LCM(18340,18354) = 24043740

Least Common Multiple (LCM) of 18340 and 18354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18340 and 18354. First we will calculate the prime factors of 18340 and 18354.

Prime Factorization of 18340

Prime factors of 18340 are 2, 5, 7, 131. Prime factorization of 18340 in exponential form is:

18340 = 22 × 51 × 71 × 1311

Prime Factorization of 18354

Prime factors of 18354 are 2, 3, 7, 19, 23. Prime factorization of 18354 in exponential form is:

18354 = 21 × 31 × 71 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 18340 and 18354.

LCM(18340,18354) = 22 × 51 × 71 × 1311 × 31 × 191 × 231
LCM(18340,18354) = 24043740