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What is the Least Common Multiple of 14383 and 14403?

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 14383 and 14403 is 207158349.

LCM(14383,14403) = 207158349

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Least Common Multiple of 14383 and 14403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14383 and 14403, than apply into the LCM equation.

GCF(14383,14403) = 1
LCM(14383,14403) = ( 14383 × 14403) / 1
LCM(14383,14403) = 207158349 / 1
LCM(14383,14403) = 207158349

Least Common Multiple (LCM) of 14383 and 14403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14383 and 14403. First we will calculate the prime factors of 14383 and 14403.

Prime Factorization of 14383

Prime factors of 14383 are 19, 757. Prime factorization of 14383 in exponential form is:

14383 = 191 × 7571

Prime Factorization of 14403

Prime factors of 14403 are 3, 4801. Prime factorization of 14403 in exponential form is:

14403 = 31 × 48011

Now multiplying the highest exponent prime factors to calculate the LCM of 14383 and 14403.

LCM(14383,14403) = 191 × 7571 × 31 × 48011
LCM(14383,14403) = 207158349