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What is the Least Common Multiple of 65287 and 65295?

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 65287 and 65295 is 4262914665.

LCM(65287,65295) = 4262914665

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Least Common Multiple of 65287 and 65295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65287 and 65295, than apply into the LCM equation.

GCF(65287,65295) = 1
LCM(65287,65295) = ( 65287 × 65295) / 1
LCM(65287,65295) = 4262914665 / 1
LCM(65287,65295) = 4262914665

Least Common Multiple (LCM) of 65287 and 65295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65287 and 65295. First we will calculate the prime factors of 65287 and 65295.

Prime Factorization of 65287

Prime factors of 65287 are 65287. Prime factorization of 65287 in exponential form is:

65287 = 652871

Prime Factorization of 65295

Prime factors of 65295 are 3, 5, 1451. Prime factorization of 65295 in exponential form is:

65295 = 32 × 51 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 65287 and 65295.

LCM(65287,65295) = 652871 × 32 × 51 × 14511
LCM(65287,65295) = 4262914665