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What is the Least Common Multiple of 13468 and 13486?

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 13468 and 13486 is 90814724.

LCM(13468,13486) = 90814724

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Least Common Multiple of 13468 and 13486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13468 and 13486, than apply into the LCM equation.

GCF(13468,13486) = 2
LCM(13468,13486) = ( 13468 × 13486) / 2
LCM(13468,13486) = 181629448 / 2
LCM(13468,13486) = 90814724

Least Common Multiple (LCM) of 13468 and 13486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13468 and 13486. First we will calculate the prime factors of 13468 and 13486.

Prime Factorization of 13468

Prime factors of 13468 are 2, 7, 13, 37. Prime factorization of 13468 in exponential form is:

13468 = 22 × 71 × 131 × 371

Prime Factorization of 13486

Prime factors of 13486 are 2, 11, 613. Prime factorization of 13486 in exponential form is:

13486 = 21 × 111 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 13468 and 13486.

LCM(13468,13486) = 22 × 71 × 131 × 371 × 111 × 6131
LCM(13468,13486) = 90814724