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What is the Least Common Multiple of 11339 and 11359?

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 11359 is 128799701.

LCM(11339,11359) = 128799701

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Least Common Multiple of 11339 and 11359 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 11359, than apply into the LCM equation.

GCF(11339,11359) = 1
LCM(11339,11359) = ( 11339 × 11359) / 1
LCM(11339,11359) = 128799701 / 1
LCM(11339,11359) = 128799701

Least Common Multiple (LCM) of 11339 and 11359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11339 and 11359. First we will calculate the prime factors of 11339 and 11359.

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 11359

Prime factors of 11359 are 37, 307. Prime factorization of 11359 in exponential form is:

11359 = 371 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 11339 and 11359.

LCM(11339,11359) = 171 × 231 × 291 × 371 × 3071
LCM(11339,11359) = 128799701