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What is the Least Common Multiple of 93388 and 93404?

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 93388 and 93404 is 2180703188.

LCM(93388,93404) = 2180703188

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Least Common Multiple of 93388 and 93404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93388 and 93404, than apply into the LCM equation.

GCF(93388,93404) = 4
LCM(93388,93404) = ( 93388 × 93404) / 4
LCM(93388,93404) = 8722812752 / 4
LCM(93388,93404) = 2180703188

Least Common Multiple (LCM) of 93388 and 93404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93388 and 93404. First we will calculate the prime factors of 93388 and 93404.

Prime Factorization of 93388

Prime factors of 93388 are 2, 37, 631. Prime factorization of 93388 in exponential form is:

93388 = 22 × 371 × 6311

Prime Factorization of 93404

Prime factors of 93404 are 2, 19, 1229. Prime factorization of 93404 in exponential form is:

93404 = 22 × 191 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 93388 and 93404.

LCM(93388,93404) = 22 × 371 × 6311 × 191 × 12291
LCM(93388,93404) = 2180703188