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What is the Least Common Multiple of 76882 and 76902?

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 76882 and 76902 is 2956189782.

LCM(76882,76902) = 2956189782

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Least Common Multiple of 76882 and 76902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76882 and 76902, than apply into the LCM equation.

GCF(76882,76902) = 2
LCM(76882,76902) = ( 76882 × 76902) / 2
LCM(76882,76902) = 5912379564 / 2
LCM(76882,76902) = 2956189782

Least Common Multiple (LCM) of 76882 and 76902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76882 and 76902. First we will calculate the prime factors of 76882 and 76902.

Prime Factorization of 76882

Prime factors of 76882 are 2, 13, 2957. Prime factorization of 76882 in exponential form is:

76882 = 21 × 131 × 29571

Prime Factorization of 76902

Prime factors of 76902 are 2, 3, 7, 1831. Prime factorization of 76902 in exponential form is:

76902 = 21 × 31 × 71 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 76882 and 76902.

LCM(76882,76902) = 21 × 131 × 29571 × 31 × 71 × 18311
LCM(76882,76902) = 2956189782