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What is the Least Common Multiple of 13477 and 13497?

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 13497 is 181899069.

LCM(13477,13497) = 181899069

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Least Common Multiple of 13477 and 13497 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 13497, than apply into the LCM equation.

GCF(13477,13497) = 1
LCM(13477,13497) = ( 13477 × 13497) / 1
LCM(13477,13497) = 181899069 / 1
LCM(13477,13497) = 181899069

Least Common Multiple (LCM) of 13477 and 13497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13477 and 13497. First we will calculate the prime factors of 13477 and 13497.

Prime Factorization of 13477

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

13477 = 134771

Prime Factorization of 13497

Prime factors of 13497 are 3, 11, 409. Prime factorization of 13497 in exponential form is:

13497 = 31 × 111 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 13477 and 13497.

LCM(13477,13497) = 134771 × 31 × 111 × 4091
LCM(13477,13497) = 181899069