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What is the Least Common Multiple of 93631 and 93647?

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 93631 and 93647 is 8768262257.

LCM(93631,93647) = 8768262257

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Least Common Multiple of 93631 and 93647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93631 and 93647, than apply into the LCM equation.

GCF(93631,93647) = 1
LCM(93631,93647) = ( 93631 × 93647) / 1
LCM(93631,93647) = 8768262257 / 1
LCM(93631,93647) = 8768262257

Least Common Multiple (LCM) of 93631 and 93647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93631 and 93647. First we will calculate the prime factors of 93631 and 93647.

Prime Factorization of 93631

Prime factors of 93631 are 109, 859. Prime factorization of 93631 in exponential form is:

93631 = 1091 × 8591

Prime Factorization of 93647

Prime factors of 93647 are 37, 2531. Prime factorization of 93647 in exponential form is:

93647 = 371 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 93631 and 93647.

LCM(93631,93647) = 1091 × 8591 × 371 × 25311
LCM(93631,93647) = 8768262257