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What is the Least Common Multiple of 93334 and 93349?

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 93334 and 93349 is 8712635566.

LCM(93334,93349) = 8712635566

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Least Common Multiple of 93334 and 93349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93334 and 93349, than apply into the LCM equation.

GCF(93334,93349) = 1
LCM(93334,93349) = ( 93334 × 93349) / 1
LCM(93334,93349) = 8712635566 / 1
LCM(93334,93349) = 8712635566

Least Common Multiple (LCM) of 93334 and 93349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93334 and 93349. First we will calculate the prime factors of 93334 and 93349.

Prime Factorization of 93334

Prime factors of 93334 are 2, 23, 2029. Prime factorization of 93334 in exponential form is:

93334 = 21 × 231 × 20291

Prime Factorization of 93349

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

93349 = 2771 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 93334 and 93349.

LCM(93334,93349) = 21 × 231 × 20291 × 2771 × 3371
LCM(93334,93349) = 8712635566