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What is the Least Common Multiple of 13464 and 13469?

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 13464 and 13469 is 181346616.

LCM(13464,13469) = 181346616

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Least Common Multiple of 13464 and 13469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13464 and 13469, than apply into the LCM equation.

GCF(13464,13469) = 1
LCM(13464,13469) = ( 13464 × 13469) / 1
LCM(13464,13469) = 181346616 / 1
LCM(13464,13469) = 181346616

Least Common Multiple (LCM) of 13464 and 13469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13464 and 13469. First we will calculate the prime factors of 13464 and 13469.

Prime Factorization of 13464

Prime factors of 13464 are 2, 3, 11, 17. Prime factorization of 13464 in exponential form is:

13464 = 23 × 32 × 111 × 171

Prime Factorization of 13469

Prime factors of 13469 are 13469. Prime factorization of 13469 in exponential form is:

13469 = 134691

Now multiplying the highest exponent prime factors to calculate the LCM of 13464 and 13469.

LCM(13464,13469) = 23 × 32 × 111 × 171 × 134691
LCM(13464,13469) = 181346616