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What is the Least Common Multiple of 18316 and 18323?

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 18316 and 18323 is 335604068.

LCM(18316,18323) = 335604068

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Least Common Multiple of 18316 and 18323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18316 and 18323, than apply into the LCM equation.

GCF(18316,18323) = 1
LCM(18316,18323) = ( 18316 × 18323) / 1
LCM(18316,18323) = 335604068 / 1
LCM(18316,18323) = 335604068

Least Common Multiple (LCM) of 18316 and 18323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18316 and 18323. First we will calculate the prime factors of 18316 and 18323.

Prime Factorization of 18316

Prime factors of 18316 are 2, 19, 241. Prime factorization of 18316 in exponential form is:

18316 = 22 × 191 × 2411

Prime Factorization of 18323

Prime factors of 18323 are 73, 251. Prime factorization of 18323 in exponential form is:

18323 = 731 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 18316 and 18323.

LCM(18316,18323) = 22 × 191 × 2411 × 731 × 2511
LCM(18316,18323) = 335604068