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What is the Least Common Multiple of 65237 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 65237 and 65247 is 4256518539.

LCM(65237,65247) = 4256518539

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Least Common Multiple of 65237 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 65237 and 65247, than apply into the LCM equation.

GCF(65237,65247) = 1
LCM(65237,65247) = ( 65237 × 65247) / 1
LCM(65237,65247) = 4256518539 / 1
LCM(65237,65247) = 4256518539

Least Common Multiple (LCM) of 65237 and 65247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65237 and 65247. First we will calculate the prime factors of 65237 and 65247.

Prime Factorization of 65237

Prime factors of 65237 are 89, 733. Prime factorization of 65237 in exponential form is:

65237 = 891 × 7331

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 65237 and 65247.

LCM(65237,65247) = 891 × 7331 × 31 × 71 × 131 × 2391
LCM(65237,65247) = 4256518539