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What is the Least Common Multiple of 13112 and 13119?

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 13119 is 172016328.

LCM(13112,13119) = 172016328

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Least Common Multiple of 13112 and 13119 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 13119, than apply into the LCM equation.

GCF(13112,13119) = 1
LCM(13112,13119) = ( 13112 × 13119) / 1
LCM(13112,13119) = 172016328 / 1
LCM(13112,13119) = 172016328

Least Common Multiple (LCM) of 13112 and 13119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13112 and 13119. First we will calculate the prime factors of 13112 and 13119.

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 13119

Prime factors of 13119 are 3, 4373. Prime factorization of 13119 in exponential form is:

13119 = 31 × 43731

Now multiplying the highest exponent prime factors to calculate the LCM of 13112 and 13119.

LCM(13112,13119) = 23 × 111 × 1491 × 31 × 43731
LCM(13112,13119) = 172016328