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What is the Least Common Multiple of 13012 and 13020?

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 13012 and 13020 is 42354060.

LCM(13012,13020) = 42354060

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Least Common Multiple of 13012 and 13020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13012 and 13020, than apply into the LCM equation.

GCF(13012,13020) = 4
LCM(13012,13020) = ( 13012 × 13020) / 4
LCM(13012,13020) = 169416240 / 4
LCM(13012,13020) = 42354060

Least Common Multiple (LCM) of 13012 and 13020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13012 and 13020. First we will calculate the prime factors of 13012 and 13020.

Prime Factorization of 13012

Prime factors of 13012 are 2, 3253. Prime factorization of 13012 in exponential form is:

13012 = 22 × 32531

Prime Factorization of 13020

Prime factors of 13020 are 2, 3, 5, 7, 31. Prime factorization of 13020 in exponential form is:

13020 = 22 × 31 × 51 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 13012 and 13020.

LCM(13012,13020) = 22 × 32531 × 31 × 51 × 71 × 311
LCM(13012,13020) = 42354060