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What is the Least Common Multiple of 13422 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 13422 and 13438 is 90182418.

LCM(13422,13438) = 90182418

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Least Common Multiple of 13422 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 13422 and 13438, than apply into the LCM equation.

GCF(13422,13438) = 2
LCM(13422,13438) = ( 13422 × 13438) / 2
LCM(13422,13438) = 180364836 / 2
LCM(13422,13438) = 90182418

Least Common Multiple (LCM) of 13422 and 13438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13422 and 13438. First we will calculate the prime factors of 13422 and 13438.

Prime Factorization of 13422

Prime factors of 13422 are 2, 3, 2237. Prime factorization of 13422 in exponential form is:

13422 = 21 × 31 × 22371

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 13422 and 13438.

LCM(13422,13438) = 21 × 31 × 22371 × 67191
LCM(13422,13438) = 90182418