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What is the Least Common Multiple of 63871 and 63881?

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 63871 and 63881 is 4080143351.

LCM(63871,63881) = 4080143351

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Least Common Multiple of 63871 and 63881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63871 and 63881, than apply into the LCM equation.

GCF(63871,63881) = 1
LCM(63871,63881) = ( 63871 × 63881) / 1
LCM(63871,63881) = 4080143351 / 1
LCM(63871,63881) = 4080143351

Least Common Multiple (LCM) of 63871 and 63881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63871 and 63881. First we will calculate the prime factors of 63871 and 63881.

Prime Factorization of 63871

Prime factors of 63871 are 23, 2777. Prime factorization of 63871 in exponential form is:

63871 = 231 × 27771

Prime Factorization of 63881

Prime factors of 63881 are 127, 503. Prime factorization of 63881 in exponential form is:

63881 = 1271 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 63871 and 63881.

LCM(63871,63881) = 231 × 27771 × 1271 × 5031
LCM(63871,63881) = 4080143351