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What is the Least Common Multiple of 13771 and 13790?

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 13771 and 13790 is 189902090.

LCM(13771,13790) = 189902090

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Least Common Multiple of 13771 and 13790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13771 and 13790, than apply into the LCM equation.

GCF(13771,13790) = 1
LCM(13771,13790) = ( 13771 × 13790) / 1
LCM(13771,13790) = 189902090 / 1
LCM(13771,13790) = 189902090

Least Common Multiple (LCM) of 13771 and 13790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13771 and 13790. First we will calculate the prime factors of 13771 and 13790.

Prime Factorization of 13771

Prime factors of 13771 are 47, 293. Prime factorization of 13771 in exponential form is:

13771 = 471 × 2931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13771 and 13790.

LCM(13771,13790) = 471 × 2931 × 21 × 51 × 71 × 1971
LCM(13771,13790) = 189902090