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What is the Least Common Multiple of 93267 and 93276?

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 93276 is 966619188.

LCM(93267,93276) = 966619188

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Least Common Multiple of 93267 and 93276 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 93276, than apply into the LCM equation.

GCF(93267,93276) = 9
LCM(93267,93276) = ( 93267 × 93276) / 9
LCM(93267,93276) = 8699572692 / 9
LCM(93267,93276) = 966619188

Least Common Multiple (LCM) of 93267 and 93276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93267 and 93276. First we will calculate the prime factors of 93267 and 93276.

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 93276

Prime factors of 93276 are 2, 3, 2591. Prime factorization of 93276 in exponential form is:

93276 = 22 × 32 × 25911

Now multiplying the highest exponent prime factors to calculate the LCM of 93267 and 93276.

LCM(93267,93276) = 32 × 431 × 2411 × 22 × 25911
LCM(93267,93276) = 966619188