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What is the Least Common Multiple of 13767 and 13780?

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 13767 and 13780 is 14593020.

LCM(13767,13780) = 14593020

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Least Common Multiple of 13767 and 13780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13767 and 13780, than apply into the LCM equation.

GCF(13767,13780) = 13
LCM(13767,13780) = ( 13767 × 13780) / 13
LCM(13767,13780) = 189709260 / 13
LCM(13767,13780) = 14593020

Least Common Multiple (LCM) of 13767 and 13780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13767 and 13780. First we will calculate the prime factors of 13767 and 13780.

Prime Factorization of 13767

Prime factors of 13767 are 3, 13, 353. Prime factorization of 13767 in exponential form is:

13767 = 31 × 131 × 3531

Prime Factorization of 13780

Prime factors of 13780 are 2, 5, 13, 53. Prime factorization of 13780 in exponential form is:

13780 = 22 × 51 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 13767 and 13780.

LCM(13767,13780) = 31 × 131 × 3531 × 22 × 51 × 531
LCM(13767,13780) = 14593020