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What is the Least Common Multiple of 9305 and 9322?

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 9305 and 9322 is 86741210.

LCM(9305,9322) = 86741210

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Least Common Multiple of 9305 and 9322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9305 and 9322, than apply into the LCM equation.

GCF(9305,9322) = 1
LCM(9305,9322) = ( 9305 × 9322) / 1
LCM(9305,9322) = 86741210 / 1
LCM(9305,9322) = 86741210

Least Common Multiple (LCM) of 9305 and 9322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9305 and 9322. First we will calculate the prime factors of 9305 and 9322.

Prime Factorization of 9305

Prime factors of 9305 are 5, 1861. Prime factorization of 9305 in exponential form is:

9305 = 51 × 18611

Prime Factorization of 9322

Prime factors of 9322 are 2, 59, 79. Prime factorization of 9322 in exponential form is:

9322 = 21 × 591 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 9305 and 9322.

LCM(9305,9322) = 51 × 18611 × 21 × 591 × 791
LCM(9305,9322) = 86741210