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What is the Least Common Multiple of 7871 and 7881?

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 7871 and 7881 is 62031351.

LCM(7871,7881) = 62031351

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Least Common Multiple of 7871 and 7881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7871 and 7881, than apply into the LCM equation.

GCF(7871,7881) = 1
LCM(7871,7881) = ( 7871 × 7881) / 1
LCM(7871,7881) = 62031351 / 1
LCM(7871,7881) = 62031351

Least Common Multiple (LCM) of 7871 and 7881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7871 and 7881. First we will calculate the prime factors of 7871 and 7881.

Prime Factorization of 7871

Prime factors of 7871 are 17, 463. Prime factorization of 7871 in exponential form is:

7871 = 171 × 4631

Prime Factorization of 7881

Prime factors of 7881 are 3, 37, 71. Prime factorization of 7881 in exponential form is:

7881 = 31 × 371 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 7871 and 7881.

LCM(7871,7881) = 171 × 4631 × 31 × 371 × 711
LCM(7871,7881) = 62031351