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What is the Least Common Multiple of 13112 and 13131?

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 13112 and 13131 is 172173672.

LCM(13112,13131) = 172173672

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Least Common Multiple of 13112 and 13131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13112 and 13131, than apply into the LCM equation.

GCF(13112,13131) = 1
LCM(13112,13131) = ( 13112 × 13131) / 1
LCM(13112,13131) = 172173672 / 1
LCM(13112,13131) = 172173672

Least Common Multiple (LCM) of 13112 and 13131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13112 and 13131. First we will calculate the prime factors of 13112 and 13131.

Prime Factorization of 13112

Prime factors of 13112 are 2, 11, 149. Prime factorization of 13112 in exponential form is:

13112 = 23 × 111 × 1491

Prime Factorization of 13131

Prime factors of 13131 are 3, 1459. Prime factorization of 13131 in exponential form is:

13131 = 32 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 13112 and 13131.

LCM(13112,13131) = 23 × 111 × 1491 × 32 × 14591
LCM(13112,13131) = 172173672