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What is the Least Common Multiple of 18303 and 18317?

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 18303 and 18317 is 335256051.

LCM(18303,18317) = 335256051

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Least Common Multiple of 18303 and 18317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18303 and 18317, than apply into the LCM equation.

GCF(18303,18317) = 1
LCM(18303,18317) = ( 18303 × 18317) / 1
LCM(18303,18317) = 335256051 / 1
LCM(18303,18317) = 335256051

Least Common Multiple (LCM) of 18303 and 18317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18303 and 18317. First we will calculate the prime factors of 18303 and 18317.

Prime Factorization of 18303

Prime factors of 18303 are 3, 6101. Prime factorization of 18303 in exponential form is:

18303 = 31 × 61011

Prime Factorization of 18317

Prime factors of 18317 are 13, 1409. Prime factorization of 18317 in exponential form is:

18317 = 131 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 18303 and 18317.

LCM(18303,18317) = 31 × 61011 × 131 × 14091
LCM(18303,18317) = 335256051