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What is the Least Common Multiple of 93397 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 93397 and 93404 is 8723653388.

LCM(93397,93404) = 8723653388

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Least Common Multiple of 93397 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 93397 and 93404, than apply into the LCM equation.

GCF(93397,93404) = 1
LCM(93397,93404) = ( 93397 × 93404) / 1
LCM(93397,93404) = 8723653388 / 1
LCM(93397,93404) = 8723653388

Least Common Multiple (LCM) of 93397 and 93404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93397 and 93404. First we will calculate the prime factors of 93397 and 93404.

Prime Factorization of 93397

Prime factors of 93397 are 59, 1583. Prime factorization of 93397 in exponential form is:

93397 = 591 × 15831

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 93397 and 93404.

LCM(93397,93404) = 591 × 15831 × 22 × 191 × 12291
LCM(93397,93404) = 8723653388