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What is the Least Common Multiple of 13914 and 13930?

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 13914 and 13930 is 96911010.

LCM(13914,13930) = 96911010

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Least Common Multiple of 13914 and 13930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13914 and 13930, than apply into the LCM equation.

GCF(13914,13930) = 2
LCM(13914,13930) = ( 13914 × 13930) / 2
LCM(13914,13930) = 193822020 / 2
LCM(13914,13930) = 96911010

Least Common Multiple (LCM) of 13914 and 13930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13914 and 13930. First we will calculate the prime factors of 13914 and 13930.

Prime Factorization of 13914

Prime factors of 13914 are 2, 3, 773. Prime factorization of 13914 in exponential form is:

13914 = 21 × 32 × 7731

Prime Factorization of 13930

Prime factors of 13930 are 2, 5, 7, 199. Prime factorization of 13930 in exponential form is:

13930 = 21 × 51 × 71 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 13914 and 13930.

LCM(13914,13930) = 21 × 32 × 7731 × 51 × 71 × 1991
LCM(13914,13930) = 96911010