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What is the Least Common Multiple of 18287 and 18303?

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 18287 and 18303 is 334706961.

LCM(18287,18303) = 334706961

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Least Common Multiple of 18287 and 18303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18287 and 18303, than apply into the LCM equation.

GCF(18287,18303) = 1
LCM(18287,18303) = ( 18287 × 18303) / 1
LCM(18287,18303) = 334706961 / 1
LCM(18287,18303) = 334706961

Least Common Multiple (LCM) of 18287 and 18303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18287 and 18303. First we will calculate the prime factors of 18287 and 18303.

Prime Factorization of 18287

Prime factors of 18287 are 18287. Prime factorization of 18287 in exponential form is:

18287 = 182871

Prime Factorization of 18303

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

18303 = 31 × 61011

Now multiplying the highest exponent prime factors to calculate the LCM of 18287 and 18303.

LCM(18287,18303) = 182871 × 31 × 61011
LCM(18287,18303) = 334706961