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What is the Least Common Multiple of 93267 and 93274?

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 93267 and 93274 is 8699386158.

LCM(93267,93274) = 8699386158

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Least Common Multiple of 93267 and 93274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93267 and 93274, than apply into the LCM equation.

GCF(93267,93274) = 1
LCM(93267,93274) = ( 93267 × 93274) / 1
LCM(93267,93274) = 8699386158 / 1
LCM(93267,93274) = 8699386158

Least Common Multiple (LCM) of 93267 and 93274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93267 and 93274. First we will calculate the prime factors of 93267 and 93274.

Prime Factorization of 93267

Prime factors of 93267 are 3, 43, 241. Prime factorization of 93267 in exponential form is:

93267 = 32 × 431 × 2411

Prime Factorization of 93274

Prime factors of 93274 are 2, 149, 313. Prime factorization of 93274 in exponential form is:

93274 = 21 × 1491 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 93267 and 93274.

LCM(93267,93274) = 32 × 431 × 2411 × 21 × 1491 × 3131
LCM(93267,93274) = 8699386158