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What is the Least Common Multiple of 11339 and 11352?

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 11339 and 11352 is 128720328.

LCM(11339,11352) = 128720328

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Least Common Multiple of 11339 and 11352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11339 and 11352, than apply into the LCM equation.

GCF(11339,11352) = 1
LCM(11339,11352) = ( 11339 × 11352) / 1
LCM(11339,11352) = 128720328 / 1
LCM(11339,11352) = 128720328

Least Common Multiple (LCM) of 11339 and 11352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11339 and 11352. First we will calculate the prime factors of 11339 and 11352.

Prime Factorization of 11339

Prime factors of 11339 are 17, 23, 29. Prime factorization of 11339 in exponential form is:

11339 = 171 × 231 × 291

Prime Factorization of 11352

Prime factors of 11352 are 2, 3, 11, 43. Prime factorization of 11352 in exponential form is:

11352 = 23 × 31 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 11339 and 11352.

LCM(11339,11352) = 171 × 231 × 291 × 23 × 31 × 111 × 431
LCM(11339,11352) = 128720328