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What is the Least Common Multiple of 11375 and 11392?

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 11392 is 129584000.

LCM(11375,11392) = 129584000

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Least Common Multiple of 11375 and 11392 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 11392, than apply into the LCM equation.

GCF(11375,11392) = 1
LCM(11375,11392) = ( 11375 × 11392) / 1
LCM(11375,11392) = 129584000 / 1
LCM(11375,11392) = 129584000

Least Common Multiple (LCM) of 11375 and 11392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11375 and 11392. First we will calculate the prime factors of 11375 and 11392.

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 11392

Prime factors of 11392 are 2, 89. Prime factorization of 11392 in exponential form is:

11392 = 27 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 11375 and 11392.

LCM(11375,11392) = 53 × 71 × 131 × 27 × 891
LCM(11375,11392) = 129584000