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What is the Least Common Multiple of 13422 and 13436?

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 13436 is 90168996.

LCM(13422,13436) = 90168996

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Least Common Multiple of 13422 and 13436 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 13436, than apply into the LCM equation.

GCF(13422,13436) = 2
LCM(13422,13436) = ( 13422 × 13436) / 2
LCM(13422,13436) = 180337992 / 2
LCM(13422,13436) = 90168996

Least Common Multiple (LCM) of 13422 and 13436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13422 and 13436. First we will calculate the prime factors of 13422 and 13436.

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 13436

Prime factors of 13436 are 2, 3359. Prime factorization of 13436 in exponential form is:

13436 = 22 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 13422 and 13436.

LCM(13422,13436) = 22 × 31 × 22371 × 33591
LCM(13422,13436) = 90168996