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What is the Least Common Multiple of 9334 and 9351?

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 9334 and 9351 is 87282234.

LCM(9334,9351) = 87282234

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Least Common Multiple of 9334 and 9351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9334 and 9351, than apply into the LCM equation.

GCF(9334,9351) = 1
LCM(9334,9351) = ( 9334 × 9351) / 1
LCM(9334,9351) = 87282234 / 1
LCM(9334,9351) = 87282234

Least Common Multiple (LCM) of 9334 and 9351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9334 and 9351. First we will calculate the prime factors of 9334 and 9351.

Prime Factorization of 9334

Prime factors of 9334 are 2, 13, 359. Prime factorization of 9334 in exponential form is:

9334 = 21 × 131 × 3591

Prime Factorization of 9351

Prime factors of 9351 are 3, 1039. Prime factorization of 9351 in exponential form is:

9351 = 32 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 9334 and 9351.

LCM(9334,9351) = 21 × 131 × 3591 × 32 × 10391
LCM(9334,9351) = 87282234