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What is the Least Common Multiple of 13586 and 13595?

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 13586 and 13595 is 184701670.

LCM(13586,13595) = 184701670

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Least Common Multiple of 13586 and 13595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13586 and 13595, than apply into the LCM equation.

GCF(13586,13595) = 1
LCM(13586,13595) = ( 13586 × 13595) / 1
LCM(13586,13595) = 184701670 / 1
LCM(13586,13595) = 184701670

Least Common Multiple (LCM) of 13586 and 13595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13586 and 13595. First we will calculate the prime factors of 13586 and 13595.

Prime Factorization of 13586

Prime factors of 13586 are 2, 6793. Prime factorization of 13586 in exponential form is:

13586 = 21 × 67931

Prime Factorization of 13595

Prime factors of 13595 are 5, 2719. Prime factorization of 13595 in exponential form is:

13595 = 51 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 13586 and 13595.

LCM(13586,13595) = 21 × 67931 × 51 × 27191
LCM(13586,13595) = 184701670