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What is the Least Common Multiple of 65283 and 65293?

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 65283 and 65293 is 4262522919.

LCM(65283,65293) = 4262522919

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Least Common Multiple of 65283 and 65293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65283 and 65293, than apply into the LCM equation.

GCF(65283,65293) = 1
LCM(65283,65293) = ( 65283 × 65293) / 1
LCM(65283,65293) = 4262522919 / 1
LCM(65283,65293) = 4262522919

Least Common Multiple (LCM) of 65283 and 65293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65283 and 65293. First we will calculate the prime factors of 65283 and 65293.

Prime Factorization of 65283

Prime factors of 65283 are 3, 47, 463. Prime factorization of 65283 in exponential form is:

65283 = 31 × 471 × 4631

Prime Factorization of 65293

Prime factors of 65293 are 65293. Prime factorization of 65293 in exponential form is:

65293 = 652931

Now multiplying the highest exponent prime factors to calculate the LCM of 65283 and 65293.

LCM(65283,65293) = 31 × 471 × 4631 × 652931
LCM(65283,65293) = 4262522919