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What is the Least Common Multiple of 93349 and 93362?

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 93349 and 93362 is 8715249338.

LCM(93349,93362) = 8715249338

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Least Common Multiple of 93349 and 93362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93349 and 93362, than apply into the LCM equation.

GCF(93349,93362) = 1
LCM(93349,93362) = ( 93349 × 93362) / 1
LCM(93349,93362) = 8715249338 / 1
LCM(93349,93362) = 8715249338

Least Common Multiple (LCM) of 93349 and 93362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93349 and 93362. First we will calculate the prime factors of 93349 and 93362.

Prime Factorization of 93349

Prime factors of 93349 are 277, 337. Prime factorization of 93349 in exponential form is:

93349 = 2771 × 3371

Prime Factorization of 93362

Prime factors of 93362 are 2, 46681. Prime factorization of 93362 in exponential form is:

93362 = 21 × 466811

Now multiplying the highest exponent prime factors to calculate the LCM of 93349 and 93362.

LCM(93349,93362) = 2771 × 3371 × 21 × 466811
LCM(93349,93362) = 8715249338