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What is the Least Common Multiple of 13051 and 13059?

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 13051 and 13059 is 170433009.

LCM(13051,13059) = 170433009

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Least Common Multiple of 13051 and 13059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13051 and 13059, than apply into the LCM equation.

GCF(13051,13059) = 1
LCM(13051,13059) = ( 13051 × 13059) / 1
LCM(13051,13059) = 170433009 / 1
LCM(13051,13059) = 170433009

Least Common Multiple (LCM) of 13051 and 13059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13051 and 13059. First we will calculate the prime factors of 13051 and 13059.

Prime Factorization of 13051

Prime factors of 13051 are 31, 421. Prime factorization of 13051 in exponential form is:

13051 = 311 × 4211

Prime Factorization of 13059

Prime factors of 13059 are 3, 1451. Prime factorization of 13059 in exponential form is:

13059 = 32 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 13051 and 13059.

LCM(13051,13059) = 311 × 4211 × 32 × 14511
LCM(13051,13059) = 170433009