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What is the Least Common Multiple of 9365 and 9384?

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 9365 and 9384 is 87881160.

LCM(9365,9384) = 87881160

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Least Common Multiple of 9365 and 9384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9365 and 9384, than apply into the LCM equation.

GCF(9365,9384) = 1
LCM(9365,9384) = ( 9365 × 9384) / 1
LCM(9365,9384) = 87881160 / 1
LCM(9365,9384) = 87881160

Least Common Multiple (LCM) of 9365 and 9384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9365 and 9384. First we will calculate the prime factors of 9365 and 9384.

Prime Factorization of 9365

Prime factors of 9365 are 5, 1873. Prime factorization of 9365 in exponential form is:

9365 = 51 × 18731

Prime Factorization of 9384

Prime factors of 9384 are 2, 3, 17, 23. Prime factorization of 9384 in exponential form is:

9384 = 23 × 31 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 9365 and 9384.

LCM(9365,9384) = 51 × 18731 × 23 × 31 × 171 × 231
LCM(9365,9384) = 87881160