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What is the Least Common Multiple of 13855 and 13874?

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 13855 and 13874 is 192224270.

LCM(13855,13874) = 192224270

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Least Common Multiple of 13855 and 13874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13855 and 13874, than apply into the LCM equation.

GCF(13855,13874) = 1
LCM(13855,13874) = ( 13855 × 13874) / 1
LCM(13855,13874) = 192224270 / 1
LCM(13855,13874) = 192224270

Least Common Multiple (LCM) of 13855 and 13874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13855 and 13874. First we will calculate the prime factors of 13855 and 13874.

Prime Factorization of 13855

Prime factors of 13855 are 5, 17, 163. Prime factorization of 13855 in exponential form is:

13855 = 51 × 171 × 1631

Prime Factorization of 13874

Prime factors of 13874 are 2, 7, 991. Prime factorization of 13874 in exponential form is:

13874 = 21 × 71 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 13855 and 13874.

LCM(13855,13874) = 51 × 171 × 1631 × 21 × 71 × 9911
LCM(13855,13874) = 192224270