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What is the Least Common Multiple of 9359 and 9367?

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 9359 and 9367 is 87665753.

LCM(9359,9367) = 87665753

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Least Common Multiple of 9359 and 9367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9359 and 9367, than apply into the LCM equation.

GCF(9359,9367) = 1
LCM(9359,9367) = ( 9359 × 9367) / 1
LCM(9359,9367) = 87665753 / 1
LCM(9359,9367) = 87665753

Least Common Multiple (LCM) of 9359 and 9367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9359 and 9367. First we will calculate the prime factors of 9359 and 9367.

Prime Factorization of 9359

Prime factors of 9359 are 7, 191. Prime factorization of 9359 in exponential form is:

9359 = 72 × 1911

Prime Factorization of 9367

Prime factors of 9367 are 17, 19, 29. Prime factorization of 9367 in exponential form is:

9367 = 171 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 9359 and 9367.

LCM(9359,9367) = 72 × 1911 × 171 × 191 × 291
LCM(9359,9367) = 87665753