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What is the Least Common Multiple of 65583 and 65601?

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 65583 and 65601 is 478034487.

LCM(65583,65601) = 478034487

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Least Common Multiple of 65583 and 65601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65583 and 65601, than apply into the LCM equation.

GCF(65583,65601) = 9
LCM(65583,65601) = ( 65583 × 65601) / 9
LCM(65583,65601) = 4302310383 / 9
LCM(65583,65601) = 478034487

Least Common Multiple (LCM) of 65583 and 65601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65583 and 65601. First we will calculate the prime factors of 65583 and 65601.

Prime Factorization of 65583

Prime factors of 65583 are 3, 7, 347. Prime factorization of 65583 in exponential form is:

65583 = 33 × 71 × 3471

Prime Factorization of 65601

Prime factors of 65601 are 3, 37, 197. Prime factorization of 65601 in exponential form is:

65601 = 32 × 371 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 65583 and 65601.

LCM(65583,65601) = 33 × 71 × 3471 × 371 × 1971
LCM(65583,65601) = 478034487