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What is the Least Common Multiple of 13143 and 13161?

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 13143 and 13161 is 57658341.

LCM(13143,13161) = 57658341

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Least Common Multiple of 13143 and 13161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13143 and 13161, than apply into the LCM equation.

GCF(13143,13161) = 3
LCM(13143,13161) = ( 13143 × 13161) / 3
LCM(13143,13161) = 172975023 / 3
LCM(13143,13161) = 57658341

Least Common Multiple (LCM) of 13143 and 13161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13143 and 13161. First we will calculate the prime factors of 13143 and 13161.

Prime Factorization of 13143

Prime factors of 13143 are 3, 13, 337. Prime factorization of 13143 in exponential form is:

13143 = 31 × 131 × 3371

Prime Factorization of 13161

Prime factors of 13161 are 3, 41, 107. Prime factorization of 13161 in exponential form is:

13161 = 31 × 411 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 13143 and 13161.

LCM(13143,13161) = 31 × 131 × 3371 × 411 × 1071
LCM(13143,13161) = 57658341