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What is the Least Common Multiple of 64285 and 64303?

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 64285 and 64303 is 4133718355.

LCM(64285,64303) = 4133718355

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Least Common Multiple of 64285 and 64303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64285 and 64303, than apply into the LCM equation.

GCF(64285,64303) = 1
LCM(64285,64303) = ( 64285 × 64303) / 1
LCM(64285,64303) = 4133718355 / 1
LCM(64285,64303) = 4133718355

Least Common Multiple (LCM) of 64285 and 64303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64285 and 64303. First we will calculate the prime factors of 64285 and 64303.

Prime Factorization of 64285

Prime factors of 64285 are 5, 13, 23, 43. Prime factorization of 64285 in exponential form is:

64285 = 51 × 131 × 231 × 431

Prime Factorization of 64303

Prime factors of 64303 are 64303. Prime factorization of 64303 in exponential form is:

64303 = 643031

Now multiplying the highest exponent prime factors to calculate the LCM of 64285 and 64303.

LCM(64285,64303) = 51 × 131 × 231 × 431 × 643031
LCM(64285,64303) = 4133718355