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What is the Least Common Multiple of 13879 and 13898?

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 13879 and 13898 is 192890342.

LCM(13879,13898) = 192890342

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Least Common Multiple of 13879 and 13898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13879 and 13898, than apply into the LCM equation.

GCF(13879,13898) = 1
LCM(13879,13898) = ( 13879 × 13898) / 1
LCM(13879,13898) = 192890342 / 1
LCM(13879,13898) = 192890342

Least Common Multiple (LCM) of 13879 and 13898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13879 and 13898. First we will calculate the prime factors of 13879 and 13898.

Prime Factorization of 13879

Prime factors of 13879 are 13879. Prime factorization of 13879 in exponential form is:

13879 = 138791

Prime Factorization of 13898

Prime factors of 13898 are 2, 6949. Prime factorization of 13898 in exponential form is:

13898 = 21 × 69491

Now multiplying the highest exponent prime factors to calculate the LCM of 13879 and 13898.

LCM(13879,13898) = 138791 × 21 × 69491
LCM(13879,13898) = 192890342