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What is the Least Common Multiple of 93686 and 93700?

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 93686 and 93700 is 4389189100.

LCM(93686,93700) = 4389189100

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Least Common Multiple of 93686 and 93700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93686 and 93700, than apply into the LCM equation.

GCF(93686,93700) = 2
LCM(93686,93700) = ( 93686 × 93700) / 2
LCM(93686,93700) = 8778378200 / 2
LCM(93686,93700) = 4389189100

Least Common Multiple (LCM) of 93686 and 93700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93686 and 93700. First we will calculate the prime factors of 93686 and 93700.

Prime Factorization of 93686

Prime factors of 93686 are 2, 139, 337. Prime factorization of 93686 in exponential form is:

93686 = 21 × 1391 × 3371

Prime Factorization of 93700

Prime factors of 93700 are 2, 5, 937. Prime factorization of 93700 in exponential form is:

93700 = 22 × 52 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 93686 and 93700.

LCM(93686,93700) = 22 × 1391 × 3371 × 52 × 9371
LCM(93686,93700) = 4389189100