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What is the Least Common Multiple of 13790 and 13807?

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 13790 and 13807 is 190398530.

LCM(13790,13807) = 190398530

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Least Common Multiple of 13790 and 13807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13790 and 13807, than apply into the LCM equation.

GCF(13790,13807) = 1
LCM(13790,13807) = ( 13790 × 13807) / 1
LCM(13790,13807) = 190398530 / 1
LCM(13790,13807) = 190398530

Least Common Multiple (LCM) of 13790 and 13807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13790 and 13807. First we will calculate the prime factors of 13790 and 13807.

Prime Factorization of 13790

Prime factors of 13790 are 2, 5, 7, 197. Prime factorization of 13790 in exponential form is:

13790 = 21 × 51 × 71 × 1971

Prime Factorization of 13807

Prime factors of 13807 are 13807. Prime factorization of 13807 in exponential form is:

13807 = 138071

Now multiplying the highest exponent prime factors to calculate the LCM of 13790 and 13807.

LCM(13790,13807) = 21 × 51 × 71 × 1971 × 138071
LCM(13790,13807) = 190398530