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What is the Least Common Multiple of 11365 and 11383?

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 11365 and 11383 is 129367795.

LCM(11365,11383) = 129367795

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Least Common Multiple of 11365 and 11383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11365 and 11383, than apply into the LCM equation.

GCF(11365,11383) = 1
LCM(11365,11383) = ( 11365 × 11383) / 1
LCM(11365,11383) = 129367795 / 1
LCM(11365,11383) = 129367795

Least Common Multiple (LCM) of 11365 and 11383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11365 and 11383. First we will calculate the prime factors of 11365 and 11383.

Prime Factorization of 11365

Prime factors of 11365 are 5, 2273. Prime factorization of 11365 in exponential form is:

11365 = 51 × 22731

Prime Factorization of 11383

Prime factors of 11383 are 11383. Prime factorization of 11383 in exponential form is:

11383 = 113831

Now multiplying the highest exponent prime factors to calculate the LCM of 11365 and 11383.

LCM(11365,11383) = 51 × 22731 × 113831
LCM(11365,11383) = 129367795