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What is the Least Common Multiple of 13489 and 13493?

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 13489 and 13493 is 182007077.

LCM(13489,13493) = 182007077

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Least Common Multiple of 13489 and 13493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13489 and 13493, than apply into the LCM equation.

GCF(13489,13493) = 1
LCM(13489,13493) = ( 13489 × 13493) / 1
LCM(13489,13493) = 182007077 / 1
LCM(13489,13493) = 182007077

Least Common Multiple (LCM) of 13489 and 13493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13489 and 13493. First we will calculate the prime factors of 13489 and 13493.

Prime Factorization of 13489

Prime factors of 13489 are 7, 41, 47. Prime factorization of 13489 in exponential form is:

13489 = 71 × 411 × 471

Prime Factorization of 13493

Prime factors of 13493 are 103, 131. Prime factorization of 13493 in exponential form is:

13493 = 1031 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 13489 and 13493.

LCM(13489,13493) = 71 × 411 × 471 × 1031 × 1311
LCM(13489,13493) = 182007077