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What is the Least Common Multiple of 11365 and 11381?

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 11381 is 129345065.

LCM(11365,11381) = 129345065

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Least Common Multiple of 11365 and 11381 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 11381, than apply into the LCM equation.

GCF(11365,11381) = 1
LCM(11365,11381) = ( 11365 × 11381) / 1
LCM(11365,11381) = 129345065 / 1
LCM(11365,11381) = 129345065

Least Common Multiple (LCM) of 11365 and 11381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11365 and 11381. First we will calculate the prime factors of 11365 and 11381.

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 11381

Prime factors of 11381 are 19, 599. Prime factorization of 11381 in exponential form is:

11381 = 191 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 11365 and 11381.

LCM(11365,11381) = 51 × 22731 × 191 × 5991
LCM(11365,11381) = 129345065