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What is the Least Common Multiple of 93636 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 93636 and 93647 is 8768730492.

LCM(93636,93647) = 8768730492

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Least Common Multiple of 93636 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 93636 and 93647, than apply into the LCM equation.

GCF(93636,93647) = 1
LCM(93636,93647) = ( 93636 × 93647) / 1
LCM(93636,93647) = 8768730492 / 1
LCM(93636,93647) = 8768730492

Least Common Multiple (LCM) of 93636 and 93647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93636 and 93647. First we will calculate the prime factors of 93636 and 93647.

Prime Factorization of 93636

Prime factors of 93636 are 2, 3, 17. Prime factorization of 93636 in exponential form is:

93636 = 22 × 34 × 172

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 93636 and 93647.

LCM(93636,93647) = 22 × 34 × 172 × 371 × 25311
LCM(93636,93647) = 8768730492