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What is the Least Common Multiple of 82867 and 82879?

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 82867 and 82879 is 6867934093.

LCM(82867,82879) = 6867934093

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Least Common Multiple of 82867 and 82879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82867 and 82879, than apply into the LCM equation.

GCF(82867,82879) = 1
LCM(82867,82879) = ( 82867 × 82879) / 1
LCM(82867,82879) = 6867934093 / 1
LCM(82867,82879) = 6867934093

Least Common Multiple (LCM) of 82867 and 82879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82867 and 82879. First we will calculate the prime factors of 82867 and 82879.

Prime Factorization of 82867

Prime factors of 82867 are 173, 479. Prime factorization of 82867 in exponential form is:

82867 = 1731 × 4791

Prime Factorization of 82879

Prime factors of 82879 are 67, 1237. Prime factorization of 82879 in exponential form is:

82879 = 671 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 82867 and 82879.

LCM(82867,82879) = 1731 × 4791 × 671 × 12371
LCM(82867,82879) = 6867934093