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What is the Least Common Multiple of 13426 and 13438?

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 13426 and 13438 is 90209294.

LCM(13426,13438) = 90209294

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Least Common Multiple of 13426 and 13438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13426 and 13438, than apply into the LCM equation.

GCF(13426,13438) = 2
LCM(13426,13438) = ( 13426 × 13438) / 2
LCM(13426,13438) = 180418588 / 2
LCM(13426,13438) = 90209294

Least Common Multiple (LCM) of 13426 and 13438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13426 and 13438. First we will calculate the prime factors of 13426 and 13438.

Prime Factorization of 13426

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

13426 = 21 × 72 × 1371

Prime Factorization of 13438

Prime factors of 13438 are 2, 6719. Prime factorization of 13438 in exponential form is:

13438 = 21 × 67191

Now multiplying the highest exponent prime factors to calculate the LCM of 13426 and 13438.

LCM(13426,13438) = 21 × 72 × 1371 × 67191
LCM(13426,13438) = 90209294