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What is the Least Common Multiple of 7879 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 7879 and 7889 is 62157431.

LCM(7879,7889) = 62157431

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Least Common Multiple of 7879 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 7879 and 7889, than apply into the LCM equation.

GCF(7879,7889) = 1
LCM(7879,7889) = ( 7879 × 7889) / 1
LCM(7879,7889) = 62157431 / 1
LCM(7879,7889) = 62157431

Least Common Multiple (LCM) of 7879 and 7889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7879 and 7889. First we will calculate the prime factors of 7879 and 7889.

Prime Factorization of 7879

Prime factors of 7879 are 7879. Prime factorization of 7879 in exponential form is:

7879 = 78791

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 7879 and 7889.

LCM(7879,7889) = 78791 × 73 × 231
LCM(7879,7889) = 62157431