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What is the Least Common Multiple of 4284 and 4303?

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 4284 and 4303 is 18434052.

LCM(4284,4303) = 18434052

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Least Common Multiple of 4284 and 4303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4284 and 4303, than apply into the LCM equation.

GCF(4284,4303) = 1
LCM(4284,4303) = ( 4284 × 4303) / 1
LCM(4284,4303) = 18434052 / 1
LCM(4284,4303) = 18434052

Least Common Multiple (LCM) of 4284 and 4303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4284 and 4303. First we will calculate the prime factors of 4284 and 4303.

Prime Factorization of 4284

Prime factors of 4284 are 2, 3, 7, 17. Prime factorization of 4284 in exponential form is:

4284 = 22 × 32 × 71 × 171

Prime Factorization of 4303

Prime factors of 4303 are 13, 331. Prime factorization of 4303 in exponential form is:

4303 = 131 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 4284 and 4303.

LCM(4284,4303) = 22 × 32 × 71 × 171 × 131 × 3311
LCM(4284,4303) = 18434052