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What is the Least Common Multiple of 18345 and 18363?

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 18345 and 18363 is 112289745.

LCM(18345,18363) = 112289745

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Least Common Multiple of 18345 and 18363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18345 and 18363, than apply into the LCM equation.

GCF(18345,18363) = 3
LCM(18345,18363) = ( 18345 × 18363) / 3
LCM(18345,18363) = 336869235 / 3
LCM(18345,18363) = 112289745

Least Common Multiple (LCM) of 18345 and 18363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18345 and 18363. First we will calculate the prime factors of 18345 and 18363.

Prime Factorization of 18345

Prime factors of 18345 are 3, 5, 1223. Prime factorization of 18345 in exponential form is:

18345 = 31 × 51 × 12231

Prime Factorization of 18363

Prime factors of 18363 are 3, 6121. Prime factorization of 18363 in exponential form is:

18363 = 31 × 61211

Now multiplying the highest exponent prime factors to calculate the LCM of 18345 and 18363.

LCM(18345,18363) = 31 × 51 × 12231 × 61211
LCM(18345,18363) = 112289745