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What is the Least Common Multiple of 7873 and 7889?

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 7873 and 7889 is 62110097.

LCM(7873,7889) = 62110097

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Least Common Multiple of 7873 and 7889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7873 and 7889, than apply into the LCM equation.

GCF(7873,7889) = 1
LCM(7873,7889) = ( 7873 × 7889) / 1
LCM(7873,7889) = 62110097 / 1
LCM(7873,7889) = 62110097

Least Common Multiple (LCM) of 7873 and 7889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7873 and 7889. First we will calculate the prime factors of 7873 and 7889.

Prime Factorization of 7873

Prime factors of 7873 are 7873. Prime factorization of 7873 in exponential form is:

7873 = 78731

Prime Factorization of 7889

Prime factors of 7889 are 7, 23. Prime factorization of 7889 in exponential form is:

7889 = 73 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7873 and 7889.

LCM(7873,7889) = 78731 × 73 × 231
LCM(7873,7889) = 62110097