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What is the Least Common Multiple of 6403 and 6423?

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 6403 and 6423 is 41126469.

LCM(6403,6423) = 41126469

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Least Common Multiple of 6403 and 6423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6403 and 6423, than apply into the LCM equation.

GCF(6403,6423) = 1
LCM(6403,6423) = ( 6403 × 6423) / 1
LCM(6403,6423) = 41126469 / 1
LCM(6403,6423) = 41126469

Least Common Multiple (LCM) of 6403 and 6423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6403 and 6423. First we will calculate the prime factors of 6403 and 6423.

Prime Factorization of 6403

Prime factors of 6403 are 19, 337. Prime factorization of 6403 in exponential form is:

6403 = 191 × 3371

Prime Factorization of 6423

Prime factors of 6423 are 3, 2141. Prime factorization of 6423 in exponential form is:

6423 = 31 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 6403 and 6423.

LCM(6403,6423) = 191 × 3371 × 31 × 21411
LCM(6403,6423) = 41126469