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What is the Least Common Multiple of 14079 and 14094?

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 14079 and 14094 is 66143142.

LCM(14079,14094) = 66143142

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Least Common Multiple of 14079 and 14094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14079 and 14094, than apply into the LCM equation.

GCF(14079,14094) = 3
LCM(14079,14094) = ( 14079 × 14094) / 3
LCM(14079,14094) = 198429426 / 3
LCM(14079,14094) = 66143142

Least Common Multiple (LCM) of 14079 and 14094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14079 and 14094. First we will calculate the prime factors of 14079 and 14094.

Prime Factorization of 14079

Prime factors of 14079 are 3, 13, 19. Prime factorization of 14079 in exponential form is:

14079 = 31 × 131 × 192

Prime Factorization of 14094

Prime factors of 14094 are 2, 3, 29. Prime factorization of 14094 in exponential form is:

14094 = 21 × 35 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 14079 and 14094.

LCM(14079,14094) = 35 × 131 × 192 × 21 × 291
LCM(14079,14094) = 66143142