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What is the Least Common Multiple of 6335 and 6353?

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 6335 and 6353 is 40246255.

LCM(6335,6353) = 40246255

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Least Common Multiple of 6335 and 6353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6335 and 6353, than apply into the LCM equation.

GCF(6335,6353) = 1
LCM(6335,6353) = ( 6335 × 6353) / 1
LCM(6335,6353) = 40246255 / 1
LCM(6335,6353) = 40246255

Least Common Multiple (LCM) of 6335 and 6353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6335 and 6353. First we will calculate the prime factors of 6335 and 6353.

Prime Factorization of 6335

Prime factors of 6335 are 5, 7, 181. Prime factorization of 6335 in exponential form is:

6335 = 51 × 71 × 1811

Prime Factorization of 6353

Prime factors of 6353 are 6353. Prime factorization of 6353 in exponential form is:

6353 = 63531

Now multiplying the highest exponent prime factors to calculate the LCM of 6335 and 6353.

LCM(6335,6353) = 51 × 71 × 1811 × 63531
LCM(6335,6353) = 40246255