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What is the Least Common Multiple of 14033 and 14041?

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 14033 and 14041 is 197037353.

LCM(14033,14041) = 197037353

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Least Common Multiple of 14033 and 14041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14033 and 14041, than apply into the LCM equation.

GCF(14033,14041) = 1
LCM(14033,14041) = ( 14033 × 14041) / 1
LCM(14033,14041) = 197037353 / 1
LCM(14033,14041) = 197037353

Least Common Multiple (LCM) of 14033 and 14041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14033 and 14041. First we will calculate the prime factors of 14033 and 14041.

Prime Factorization of 14033

Prime factors of 14033 are 14033. Prime factorization of 14033 in exponential form is:

14033 = 140331

Prime Factorization of 14041

Prime factors of 14041 are 19, 739. Prime factorization of 14041 in exponential form is:

14041 = 191 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 14033 and 14041.

LCM(14033,14041) = 140331 × 191 × 7391
LCM(14033,14041) = 197037353