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What is the Least Common Multiple of 93291 and 93309?

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 93291 and 93309 is 2901629973.

LCM(93291,93309) = 2901629973

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Least Common Multiple of 93291 and 93309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93291 and 93309, than apply into the LCM equation.

GCF(93291,93309) = 3
LCM(93291,93309) = ( 93291 × 93309) / 3
LCM(93291,93309) = 8704889919 / 3
LCM(93291,93309) = 2901629973

Least Common Multiple (LCM) of 93291 and 93309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93291 and 93309. First we will calculate the prime factors of 93291 and 93309.

Prime Factorization of 93291

Prime factors of 93291 are 3, 11, 257. Prime factorization of 93291 in exponential form is:

93291 = 31 × 112 × 2571

Prime Factorization of 93309

Prime factors of 93309 are 3, 19, 1637. Prime factorization of 93309 in exponential form is:

93309 = 31 × 191 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 93291 and 93309.

LCM(93291,93309) = 31 × 112 × 2571 × 191 × 16371
LCM(93291,93309) = 2901629973