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What is the Least Common Multiple of 93627 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 93627 and 93647 is 8767887669.

LCM(93627,93647) = 8767887669

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Least Common Multiple of 93627 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 93627 and 93647, than apply into the LCM equation.

GCF(93627,93647) = 1
LCM(93627,93647) = ( 93627 × 93647) / 1
LCM(93627,93647) = 8767887669 / 1
LCM(93627,93647) = 8767887669

Least Common Multiple (LCM) of 93627 and 93647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93627 and 93647. First we will calculate the prime factors of 93627 and 93647.

Prime Factorization of 93627

Prime factors of 93627 are 3, 101, 103. Prime factorization of 93627 in exponential form is:

93627 = 32 × 1011 × 1031

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 93627 and 93647.

LCM(93627,93647) = 32 × 1011 × 1031 × 371 × 25311
LCM(93627,93647) = 8767887669