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What is the Least Common Multiple of 63871 and 63882?

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 63882 is 4080207222.

LCM(63871,63882) = 4080207222

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Least Common Multiple of 63871 and 63882 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 63882, than apply into the LCM equation.

GCF(63871,63882) = 1
LCM(63871,63882) = ( 63871 × 63882) / 1
LCM(63871,63882) = 4080207222 / 1
LCM(63871,63882) = 4080207222

Least Common Multiple (LCM) of 63871 and 63882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63871 and 63882. First we will calculate the prime factors of 63871 and 63882.

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 63882

Prime factors of 63882 are 2, 3, 7, 13. Prime factorization of 63882 in exponential form is:

63882 = 21 × 33 × 71 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 63871 and 63882.

LCM(63871,63882) = 231 × 27771 × 21 × 33 × 71 × 132
LCM(63871,63882) = 4080207222