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What is the Least Common Multiple of 63859 and 63867?

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 63859 and 63867 is 4078482753.

LCM(63859,63867) = 4078482753

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Least Common Multiple of 63859 and 63867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63859 and 63867, than apply into the LCM equation.

GCF(63859,63867) = 1
LCM(63859,63867) = ( 63859 × 63867) / 1
LCM(63859,63867) = 4078482753 / 1
LCM(63859,63867) = 4078482753

Least Common Multiple (LCM) of 63859 and 63867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63859 and 63867. First we will calculate the prime factors of 63859 and 63867.

Prime Factorization of 63859

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

63859 = 191 × 33611

Prime Factorization of 63867

Prime factors of 63867 are 3, 61, 349. Prime factorization of 63867 in exponential form is:

63867 = 31 × 611 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 63859 and 63867.

LCM(63859,63867) = 191 × 33611 × 31 × 611 × 3491
LCM(63859,63867) = 4078482753