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What is the Least Common Multiple of 14331 and 14348?

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 14331 and 14348 is 12095364.

LCM(14331,14348) = 12095364

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Least Common Multiple of 14331 and 14348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14331 and 14348, than apply into the LCM equation.

GCF(14331,14348) = 17
LCM(14331,14348) = ( 14331 × 14348) / 17
LCM(14331,14348) = 205621188 / 17
LCM(14331,14348) = 12095364

Least Common Multiple (LCM) of 14331 and 14348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14331 and 14348. First we will calculate the prime factors of 14331 and 14348.

Prime Factorization of 14331

Prime factors of 14331 are 3, 17, 281. Prime factorization of 14331 in exponential form is:

14331 = 31 × 171 × 2811

Prime Factorization of 14348

Prime factors of 14348 are 2, 17, 211. Prime factorization of 14348 in exponential form is:

14348 = 22 × 171 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 14331 and 14348.

LCM(14331,14348) = 31 × 171 × 2811 × 22 × 2111
LCM(14331,14348) = 12095364