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What is the Least Common Multiple of 65231 and 65247?

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 65231 and 65247 is 4256127057.

LCM(65231,65247) = 4256127057

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Least Common Multiple of 65231 and 65247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65231 and 65247, than apply into the LCM equation.

GCF(65231,65247) = 1
LCM(65231,65247) = ( 65231 × 65247) / 1
LCM(65231,65247) = 4256127057 / 1
LCM(65231,65247) = 4256127057

Least Common Multiple (LCM) of 65231 and 65247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65231 and 65247. First we will calculate the prime factors of 65231 and 65247.

Prime Factorization of 65231

Prime factors of 65231 are 37, 41, 43. Prime factorization of 65231 in exponential form is:

65231 = 371 × 411 × 431

Prime Factorization of 65247

Prime factors of 65247 are 3, 7, 13, 239. Prime factorization of 65247 in exponential form is:

65247 = 31 × 71 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 65231 and 65247.

LCM(65231,65247) = 371 × 411 × 431 × 31 × 71 × 131 × 2391
LCM(65231,65247) = 4256127057