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What is the Least Common Multiple of 13477 and 13494?

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 13477 and 13494 is 181858638.

LCM(13477,13494) = 181858638

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Least Common Multiple of 13477 and 13494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13477 and 13494, than apply into the LCM equation.

GCF(13477,13494) = 1
LCM(13477,13494) = ( 13477 × 13494) / 1
LCM(13477,13494) = 181858638 / 1
LCM(13477,13494) = 181858638

Least Common Multiple (LCM) of 13477 and 13494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13477 and 13494. First we will calculate the prime factors of 13477 and 13494.

Prime Factorization of 13477

Prime factors of 13477 are 13477. Prime factorization of 13477 in exponential form is:

13477 = 134771

Prime Factorization of 13494

Prime factors of 13494 are 2, 3, 13, 173. Prime factorization of 13494 in exponential form is:

13494 = 21 × 31 × 131 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 13477 and 13494.

LCM(13477,13494) = 134771 × 21 × 31 × 131 × 1731
LCM(13477,13494) = 181858638