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What is the Least Common Multiple of 13422 and 13442?

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 13442 is 90209262.

LCM(13422,13442) = 90209262

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Least Common Multiple of 13422 and 13442 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 13442, than apply into the LCM equation.

GCF(13422,13442) = 2
LCM(13422,13442) = ( 13422 × 13442) / 2
LCM(13422,13442) = 180418524 / 2
LCM(13422,13442) = 90209262

Least Common Multiple (LCM) of 13422 and 13442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13422 and 13442. First we will calculate the prime factors of 13422 and 13442.

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 13442

Prime factors of 13442 are 2, 11, 13, 47. Prime factorization of 13442 in exponential form is:

13442 = 21 × 111 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 13422 and 13442.

LCM(13422,13442) = 21 × 31 × 22371 × 111 × 131 × 471
LCM(13422,13442) = 90209262