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What is the Least Common Multiple of 13457 and 13467?

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 13457 and 13467 is 181225419.

LCM(13457,13467) = 181225419

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Least Common Multiple of 13457 and 13467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13457 and 13467, than apply into the LCM equation.

GCF(13457,13467) = 1
LCM(13457,13467) = ( 13457 × 13467) / 1
LCM(13457,13467) = 181225419 / 1
LCM(13457,13467) = 181225419

Least Common Multiple (LCM) of 13457 and 13467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13457 and 13467. First we will calculate the prime factors of 13457 and 13467.

Prime Factorization of 13457

Prime factors of 13457 are 13457. Prime factorization of 13457 in exponential form is:

13457 = 134571

Prime Factorization of 13467

Prime factors of 13467 are 3, 67. Prime factorization of 13467 in exponential form is:

13467 = 31 × 672

Now multiplying the highest exponent prime factors to calculate the LCM of 13457 and 13467.

LCM(13457,13467) = 134571 × 31 × 672
LCM(13457,13467) = 181225419