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What is the Least Common Multiple of 63843 and 63859?

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 63843 and 63859 is 4076950137.

LCM(63843,63859) = 4076950137

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Least Common Multiple of 63843 and 63859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63843 and 63859, than apply into the LCM equation.

GCF(63843,63859) = 1
LCM(63843,63859) = ( 63843 × 63859) / 1
LCM(63843,63859) = 4076950137 / 1
LCM(63843,63859) = 4076950137

Least Common Multiple (LCM) of 63843 and 63859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63843 and 63859. First we will calculate the prime factors of 63843 and 63859.

Prime Factorization of 63843

Prime factors of 63843 are 3, 13, 1637. Prime factorization of 63843 in exponential form is:

63843 = 31 × 131 × 16371

Prime Factorization of 63859

Prime factors of 63859 are 19, 3361. Prime factorization of 63859 in exponential form is:

63859 = 191 × 33611

Now multiplying the highest exponent prime factors to calculate the LCM of 63843 and 63859.

LCM(63843,63859) = 31 × 131 × 16371 × 191 × 33611
LCM(63843,63859) = 4076950137