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What is the Least Common Multiple of 13189 and 13194?

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 13189 and 13194 is 174015666.

LCM(13189,13194) = 174015666

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Least Common Multiple of 13189 and 13194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13189 and 13194, than apply into the LCM equation.

GCF(13189,13194) = 1
LCM(13189,13194) = ( 13189 × 13194) / 1
LCM(13189,13194) = 174015666 / 1
LCM(13189,13194) = 174015666

Least Common Multiple (LCM) of 13189 and 13194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13189 and 13194. First we will calculate the prime factors of 13189 and 13194.

Prime Factorization of 13189

Prime factors of 13189 are 11, 109. Prime factorization of 13189 in exponential form is:

13189 = 112 × 1091

Prime Factorization of 13194

Prime factors of 13194 are 2, 3, 733. Prime factorization of 13194 in exponential form is:

13194 = 21 × 32 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 13189 and 13194.

LCM(13189,13194) = 112 × 1091 × 21 × 32 × 7331
LCM(13189,13194) = 174015666