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What is the Least Common Multiple of 9321 and 9335?

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 9321 and 9335 is 87011535.

LCM(9321,9335) = 87011535

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Least Common Multiple of 9321 and 9335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9321 and 9335, than apply into the LCM equation.

GCF(9321,9335) = 1
LCM(9321,9335) = ( 9321 × 9335) / 1
LCM(9321,9335) = 87011535 / 1
LCM(9321,9335) = 87011535

Least Common Multiple (LCM) of 9321 and 9335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9321 and 9335. First we will calculate the prime factors of 9321 and 9335.

Prime Factorization of 9321

Prime factors of 9321 are 3, 13, 239. Prime factorization of 9321 in exponential form is:

9321 = 31 × 131 × 2391

Prime Factorization of 9335

Prime factors of 9335 are 5, 1867. Prime factorization of 9335 in exponential form is:

9335 = 51 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 9321 and 9335.

LCM(9321,9335) = 31 × 131 × 2391 × 51 × 18671
LCM(9321,9335) = 87011535