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What is the Least Common Multiple of 13473 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 13473 and 13493 is 181791189.

LCM(13473,13493) = 181791189

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Least Common Multiple of 13473 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 13473 and 13493, than apply into the LCM equation.

GCF(13473,13493) = 1
LCM(13473,13493) = ( 13473 × 13493) / 1
LCM(13473,13493) = 181791189 / 1
LCM(13473,13493) = 181791189

Least Common Multiple (LCM) of 13473 and 13493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13473 and 13493. First we will calculate the prime factors of 13473 and 13493.

Prime Factorization of 13473

Prime factors of 13473 are 3, 499. Prime factorization of 13473 in exponential form is:

13473 = 33 × 4991

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 13473 and 13493.

LCM(13473,13493) = 33 × 4991 × 1031 × 1311
LCM(13473,13493) = 181791189