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What is the Least Common Multiple of 13589 and 13596?

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 13589 and 13596 is 184756044.

LCM(13589,13596) = 184756044

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Least Common Multiple of 13589 and 13596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13589 and 13596, than apply into the LCM equation.

GCF(13589,13596) = 1
LCM(13589,13596) = ( 13589 × 13596) / 1
LCM(13589,13596) = 184756044 / 1
LCM(13589,13596) = 184756044

Least Common Multiple (LCM) of 13589 and 13596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13589 and 13596. First we will calculate the prime factors of 13589 and 13596.

Prime Factorization of 13589

Prime factors of 13589 are 107, 127. Prime factorization of 13589 in exponential form is:

13589 = 1071 × 1271

Prime Factorization of 13596

Prime factors of 13596 are 2, 3, 11, 103. Prime factorization of 13596 in exponential form is:

13596 = 22 × 31 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 13589 and 13596.

LCM(13589,13596) = 1071 × 1271 × 22 × 31 × 111 × 1031
LCM(13589,13596) = 184756044