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What is the Least Common Multiple of 14394 and 14401?

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 14394 and 14401 is 207287994.

LCM(14394,14401) = 207287994

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Least Common Multiple of 14394 and 14401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14394 and 14401, than apply into the LCM equation.

GCF(14394,14401) = 1
LCM(14394,14401) = ( 14394 × 14401) / 1
LCM(14394,14401) = 207287994 / 1
LCM(14394,14401) = 207287994

Least Common Multiple (LCM) of 14394 and 14401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14394 and 14401. First we will calculate the prime factors of 14394 and 14401.

Prime Factorization of 14394

Prime factors of 14394 are 2, 3, 2399. Prime factorization of 14394 in exponential form is:

14394 = 21 × 31 × 23991

Prime Factorization of 14401

Prime factors of 14401 are 14401. Prime factorization of 14401 in exponential form is:

14401 = 144011

Now multiplying the highest exponent prime factors to calculate the LCM of 14394 and 14401.

LCM(14394,14401) = 21 × 31 × 23991 × 144011
LCM(14394,14401) = 207287994