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What is the Least Common Multiple of 13041 and 13045?

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 13041 and 13045 is 170119845.

LCM(13041,13045) = 170119845

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Least Common Multiple of 13041 and 13045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13041 and 13045, than apply into the LCM equation.

GCF(13041,13045) = 1
LCM(13041,13045) = ( 13041 × 13045) / 1
LCM(13041,13045) = 170119845 / 1
LCM(13041,13045) = 170119845

Least Common Multiple (LCM) of 13041 and 13045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13041 and 13045. First we will calculate the prime factors of 13041 and 13045.

Prime Factorization of 13041

Prime factors of 13041 are 3, 7, 23. Prime factorization of 13041 in exponential form is:

13041 = 34 × 71 × 231

Prime Factorization of 13045

Prime factors of 13045 are 5, 2609. Prime factorization of 13045 in exponential form is:

13045 = 51 × 26091

Now multiplying the highest exponent prime factors to calculate the LCM of 13041 and 13045.

LCM(13041,13045) = 34 × 71 × 231 × 51 × 26091
LCM(13041,13045) = 170119845