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What is the Least Common Multiple of 13405 and 13422?

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 13405 and 13422 is 179921910.

LCM(13405,13422) = 179921910

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Least Common Multiple of 13405 and 13422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13405 and 13422, than apply into the LCM equation.

GCF(13405,13422) = 1
LCM(13405,13422) = ( 13405 × 13422) / 1
LCM(13405,13422) = 179921910 / 1
LCM(13405,13422) = 179921910

Least Common Multiple (LCM) of 13405 and 13422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13405 and 13422. First we will calculate the prime factors of 13405 and 13422.

Prime Factorization of 13405

Prime factors of 13405 are 5, 7, 383. Prime factorization of 13405 in exponential form is:

13405 = 51 × 71 × 3831

Prime Factorization of 13422

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

13422 = 21 × 31 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 13405 and 13422.

LCM(13405,13422) = 51 × 71 × 3831 × 21 × 31 × 22371
LCM(13405,13422) = 179921910