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What is the Least Common Multiple of 63871 and 63876?

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 63876 is 4079823996.

LCM(63871,63876) = 4079823996

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Least Common Multiple of 63871 and 63876 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 63876, than apply into the LCM equation.

GCF(63871,63876) = 1
LCM(63871,63876) = ( 63871 × 63876) / 1
LCM(63871,63876) = 4079823996 / 1
LCM(63871,63876) = 4079823996

Least Common Multiple (LCM) of 63871 and 63876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63871 and 63876. First we will calculate the prime factors of 63871 and 63876.

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 63876

Prime factors of 63876 are 2, 3, 5323. Prime factorization of 63876 in exponential form is:

63876 = 22 × 31 × 53231

Now multiplying the highest exponent prime factors to calculate the LCM of 63871 and 63876.

LCM(63871,63876) = 231 × 27771 × 22 × 31 × 53231
LCM(63871,63876) = 4079823996