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What is the Least Common Multiple of 12284 and 12303?

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 12284 and 12303 is 151130052.

LCM(12284,12303) = 151130052

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Least Common Multiple of 12284 and 12303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12284 and 12303, than apply into the LCM equation.

GCF(12284,12303) = 1
LCM(12284,12303) = ( 12284 × 12303) / 1
LCM(12284,12303) = 151130052 / 1
LCM(12284,12303) = 151130052

Least Common Multiple (LCM) of 12284 and 12303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12284 and 12303. First we will calculate the prime factors of 12284 and 12303.

Prime Factorization of 12284

Prime factors of 12284 are 2, 37, 83. Prime factorization of 12284 in exponential form is:

12284 = 22 × 371 × 831

Prime Factorization of 12303

Prime factors of 12303 are 3, 1367. Prime factorization of 12303 in exponential form is:

12303 = 32 × 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 12284 and 12303.

LCM(12284,12303) = 22 × 371 × 831 × 32 × 13671
LCM(12284,12303) = 151130052