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What is the Least Common Multiple of 82877 and 82883?

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 82877 and 82883 is 6869094391.

LCM(82877,82883) = 6869094391

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Least Common Multiple of 82877 and 82883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82877 and 82883, than apply into the LCM equation.

GCF(82877,82883) = 1
LCM(82877,82883) = ( 82877 × 82883) / 1
LCM(82877,82883) = 6869094391 / 1
LCM(82877,82883) = 6869094391

Least Common Multiple (LCM) of 82877 and 82883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82877 and 82883. First we will calculate the prime factors of 82877 and 82883.

Prime Factorization of 82877

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

82877 = 1791 × 4631

Prime Factorization of 82883

Prime factors of 82883 are 82883. Prime factorization of 82883 in exponential form is:

82883 = 828831

Now multiplying the highest exponent prime factors to calculate the LCM of 82877 and 82883.

LCM(82877,82883) = 1791 × 4631 × 828831
LCM(82877,82883) = 6869094391