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What is the Least Common Multiple of 11375 and 11384?

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 11375 and 11384 is 129493000.

LCM(11375,11384) = 129493000

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Least Common Multiple of 11375 and 11384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11375 and 11384, than apply into the LCM equation.

GCF(11375,11384) = 1
LCM(11375,11384) = ( 11375 × 11384) / 1
LCM(11375,11384) = 129493000 / 1
LCM(11375,11384) = 129493000

Least Common Multiple (LCM) of 11375 and 11384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11375 and 11384. First we will calculate the prime factors of 11375 and 11384.

Prime Factorization of 11375

Prime factors of 11375 are 5, 7, 13. Prime factorization of 11375 in exponential form is:

11375 = 53 × 71 × 131

Prime Factorization of 11384

Prime factors of 11384 are 2, 1423. Prime factorization of 11384 in exponential form is:

11384 = 23 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 11375 and 11384.

LCM(11375,11384) = 53 × 71 × 131 × 23 × 14231
LCM(11375,11384) = 129493000