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What is the Least Common Multiple of 13334 and 13345?

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 13334 and 13345 is 177942230.

LCM(13334,13345) = 177942230

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Least Common Multiple of 13334 and 13345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13334 and 13345, than apply into the LCM equation.

GCF(13334,13345) = 1
LCM(13334,13345) = ( 13334 × 13345) / 1
LCM(13334,13345) = 177942230 / 1
LCM(13334,13345) = 177942230

Least Common Multiple (LCM) of 13334 and 13345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13334 and 13345. First we will calculate the prime factors of 13334 and 13345.

Prime Factorization of 13334

Prime factors of 13334 are 2, 59, 113. Prime factorization of 13334 in exponential form is:

13334 = 21 × 591 × 1131

Prime Factorization of 13345

Prime factors of 13345 are 5, 17, 157. Prime factorization of 13345 in exponential form is:

13345 = 51 × 171 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 13334 and 13345.

LCM(13334,13345) = 21 × 591 × 1131 × 51 × 171 × 1571
LCM(13334,13345) = 177942230