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What is the Least Common Multiple of 9320 and 9334?

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 9320 and 9334 is 43496440.

LCM(9320,9334) = 43496440

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Least Common Multiple of 9320 and 9334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9320 and 9334, than apply into the LCM equation.

GCF(9320,9334) = 2
LCM(9320,9334) = ( 9320 × 9334) / 2
LCM(9320,9334) = 86992880 / 2
LCM(9320,9334) = 43496440

Least Common Multiple (LCM) of 9320 and 9334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9320 and 9334. First we will calculate the prime factors of 9320 and 9334.

Prime Factorization of 9320

Prime factors of 9320 are 2, 5, 233. Prime factorization of 9320 in exponential form is:

9320 = 23 × 51 × 2331

Prime Factorization of 9334

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

9334 = 21 × 131 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 9320 and 9334.

LCM(9320,9334) = 23 × 51 × 2331 × 131 × 3591
LCM(9320,9334) = 43496440