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What is the Least Common Multiple of 6871 and 6889?

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 6871 and 6889 is 47334319.

LCM(6871,6889) = 47334319

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Least Common Multiple of 6871 and 6889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6871 and 6889, than apply into the LCM equation.

GCF(6871,6889) = 1
LCM(6871,6889) = ( 6871 × 6889) / 1
LCM(6871,6889) = 47334319 / 1
LCM(6871,6889) = 47334319

Least Common Multiple (LCM) of 6871 and 6889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6871 and 6889. First we will calculate the prime factors of 6871 and 6889.

Prime Factorization of 6871

Prime factors of 6871 are 6871. Prime factorization of 6871 in exponential form is:

6871 = 68711

Prime Factorization of 6889

Prime factors of 6889 are 83. Prime factorization of 6889 in exponential form is:

6889 = 832

Now multiplying the highest exponent prime factors to calculate the LCM of 6871 and 6889.

LCM(6871,6889) = 68711 × 832
LCM(6871,6889) = 47334319