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What is the Least Common Multiple of 82867 and 82877?

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 82877 is 6867768359.

LCM(82867,82877) = 6867768359

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Least Common Multiple of 82867 and 82877 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 82877, than apply into the LCM equation.

GCF(82867,82877) = 1
LCM(82867,82877) = ( 82867 × 82877) / 1
LCM(82867,82877) = 6867768359 / 1
LCM(82867,82877) = 6867768359

Least Common Multiple (LCM) of 82867 and 82877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82867 and 82877. First we will calculate the prime factors of 82867 and 82877.

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 82877

Prime factors of 82877 are 179, 463. Prime factorization of 82877 in exponential form is:

82877 = 1791 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 82867 and 82877.

LCM(82867,82877) = 1731 × 4791 × 1791 × 4631
LCM(82867,82877) = 6867768359