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What is the Least Common Multiple of 13864 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 13864 and 13874 is 96174568.

LCM(13864,13874) = 96174568

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Least Common Multiple of 13864 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 13864 and 13874, than apply into the LCM equation.

GCF(13864,13874) = 2
LCM(13864,13874) = ( 13864 × 13874) / 2
LCM(13864,13874) = 192349136 / 2
LCM(13864,13874) = 96174568

Least Common Multiple (LCM) of 13864 and 13874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13864 and 13874. First we will calculate the prime factors of 13864 and 13874.

Prime Factorization of 13864

Prime factors of 13864 are 2, 1733. Prime factorization of 13864 in exponential form is:

13864 = 23 × 17331

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 13864 and 13874.

LCM(13864,13874) = 23 × 17331 × 71 × 9911
LCM(13864,13874) = 96174568