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What is the Least Common Multiple of 13464 and 13478?

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 13478 is 90733896.

LCM(13464,13478) = 90733896

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Least Common Multiple of 13464 and 13478 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 13478, than apply into the LCM equation.

GCF(13464,13478) = 2
LCM(13464,13478) = ( 13464 × 13478) / 2
LCM(13464,13478) = 181467792 / 2
LCM(13464,13478) = 90733896

Least Common Multiple (LCM) of 13464 and 13478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13464 and 13478. First we will calculate the prime factors of 13464 and 13478.

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 13478

Prime factors of 13478 are 2, 23, 293. Prime factorization of 13478 in exponential form is:

13478 = 21 × 231 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 13464 and 13478.

LCM(13464,13478) = 23 × 32 × 111 × 171 × 231 × 2931
LCM(13464,13478) = 90733896