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What is the Least Common Multiple of 93342 and 93353?

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 93342 and 93353 is 8713755726.

LCM(93342,93353) = 8713755726

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Least Common Multiple of 93342 and 93353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93342 and 93353, than apply into the LCM equation.

GCF(93342,93353) = 1
LCM(93342,93353) = ( 93342 × 93353) / 1
LCM(93342,93353) = 8713755726 / 1
LCM(93342,93353) = 8713755726

Least Common Multiple (LCM) of 93342 and 93353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93342 and 93353. First we will calculate the prime factors of 93342 and 93353.

Prime Factorization of 93342

Prime factors of 93342 are 2, 3, 47, 331. Prime factorization of 93342 in exponential form is:

93342 = 21 × 31 × 471 × 3311

Prime Factorization of 93353

Prime factors of 93353 are 13, 43, 167. Prime factorization of 93353 in exponential form is:

93353 = 131 × 431 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 93342 and 93353.

LCM(93342,93353) = 21 × 31 × 471 × 3311 × 131 × 431 × 1671
LCM(93342,93353) = 8713755726