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What is the Least Common Multiple of 32284 and 32303?

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 32284 and 32303 is 1042870052.

LCM(32284,32303) = 1042870052

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Least Common Multiple of 32284 and 32303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32284 and 32303, than apply into the LCM equation.

GCF(32284,32303) = 1
LCM(32284,32303) = ( 32284 × 32303) / 1
LCM(32284,32303) = 1042870052 / 1
LCM(32284,32303) = 1042870052

Least Common Multiple (LCM) of 32284 and 32303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32284 and 32303. First we will calculate the prime factors of 32284 and 32303.

Prime Factorization of 32284

Prime factors of 32284 are 2, 7, 1153. Prime factorization of 32284 in exponential form is:

32284 = 22 × 71 × 11531

Prime Factorization of 32303

Prime factors of 32303 are 32303. Prime factorization of 32303 in exponential form is:

32303 = 323031

Now multiplying the highest exponent prime factors to calculate the LCM of 32284 and 32303.

LCM(32284,32303) = 22 × 71 × 11531 × 323031
LCM(32284,32303) = 1042870052