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What is the Least Common Multiple of 13927 and 13942?

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 13927 and 13942 is 194170234.

LCM(13927,13942) = 194170234

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Least Common Multiple of 13927 and 13942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13927 and 13942, than apply into the LCM equation.

GCF(13927,13942) = 1
LCM(13927,13942) = ( 13927 × 13942) / 1
LCM(13927,13942) = 194170234 / 1
LCM(13927,13942) = 194170234

Least Common Multiple (LCM) of 13927 and 13942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13927 and 13942. First we will calculate the prime factors of 13927 and 13942.

Prime Factorization of 13927

Prime factors of 13927 are 19, 733. Prime factorization of 13927 in exponential form is:

13927 = 191 × 7331

Prime Factorization of 13942

Prime factors of 13942 are 2, 6971. Prime factorization of 13942 in exponential form is:

13942 = 21 × 69711

Now multiplying the highest exponent prime factors to calculate the LCM of 13927 and 13942.

LCM(13927,13942) = 191 × 7331 × 21 × 69711
LCM(13927,13942) = 194170234