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What is the Least Common Multiple of 11475 and 11488?

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 11475 and 11488 is 131824800.

LCM(11475,11488) = 131824800

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Least Common Multiple of 11475 and 11488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11475 and 11488, than apply into the LCM equation.

GCF(11475,11488) = 1
LCM(11475,11488) = ( 11475 × 11488) / 1
LCM(11475,11488) = 131824800 / 1
LCM(11475,11488) = 131824800

Least Common Multiple (LCM) of 11475 and 11488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11475 and 11488. First we will calculate the prime factors of 11475 and 11488.

Prime Factorization of 11475

Prime factors of 11475 are 3, 5, 17. Prime factorization of 11475 in exponential form is:

11475 = 33 × 52 × 171

Prime Factorization of 11488

Prime factors of 11488 are 2, 359. Prime factorization of 11488 in exponential form is:

11488 = 25 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 11475 and 11488.

LCM(11475,11488) = 33 × 52 × 171 × 25 × 3591
LCM(11475,11488) = 131824800