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What is the Least Common Multiple of 13412 and 13426?

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 13412 and 13426 is 12862108.

LCM(13412,13426) = 12862108

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Least Common Multiple of 13412 and 13426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13412 and 13426, than apply into the LCM equation.

GCF(13412,13426) = 14
LCM(13412,13426) = ( 13412 × 13426) / 14
LCM(13412,13426) = 180069512 / 14
LCM(13412,13426) = 12862108

Least Common Multiple (LCM) of 13412 and 13426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13412 and 13426. First we will calculate the prime factors of 13412 and 13426.

Prime Factorization of 13412

Prime factors of 13412 are 2, 7, 479. Prime factorization of 13412 in exponential form is:

13412 = 22 × 71 × 4791

Prime Factorization of 13426

Prime factors of 13426 are 2, 7, 137. Prime factorization of 13426 in exponential form is:

13426 = 21 × 72 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 13412 and 13426.

LCM(13412,13426) = 22 × 72 × 4791 × 1371
LCM(13412,13426) = 12862108