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What is the Least Common Multiple of 64279 and 64287?

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 64279 and 64287 is 4132304073.

LCM(64279,64287) = 4132304073

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Least Common Multiple of 64279 and 64287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64279 and 64287, than apply into the LCM equation.

GCF(64279,64287) = 1
LCM(64279,64287) = ( 64279 × 64287) / 1
LCM(64279,64287) = 4132304073 / 1
LCM(64279,64287) = 4132304073

Least Common Multiple (LCM) of 64279 and 64287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64279 and 64287. First we will calculate the prime factors of 64279 and 64287.

Prime Factorization of 64279

Prime factors of 64279 are 64279. Prime factorization of 64279 in exponential form is:

64279 = 642791

Prime Factorization of 64287

Prime factors of 64287 are 3, 2381. Prime factorization of 64287 in exponential form is:

64287 = 33 × 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 64279 and 64287.

LCM(64279,64287) = 642791 × 33 × 23811
LCM(64279,64287) = 4132304073