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What is the Least Common Multiple of 86882 and 86902?

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 86882 and 86902 is 3775109782.

LCM(86882,86902) = 3775109782

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Least Common Multiple of 86882 and 86902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86882 and 86902, than apply into the LCM equation.

GCF(86882,86902) = 2
LCM(86882,86902) = ( 86882 × 86902) / 2
LCM(86882,86902) = 7550219564 / 2
LCM(86882,86902) = 3775109782

Least Common Multiple (LCM) of 86882 and 86902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86882 and 86902. First we will calculate the prime factors of 86882 and 86902.

Prime Factorization of 86882

Prime factors of 86882 are 2, 43441. Prime factorization of 86882 in exponential form is:

86882 = 21 × 434411

Prime Factorization of 86902

Prime factors of 86902 are 2, 43451. Prime factorization of 86902 in exponential form is:

86902 = 21 × 434511

Now multiplying the highest exponent prime factors to calculate the LCM of 86882 and 86902.

LCM(86882,86902) = 21 × 434411 × 434511
LCM(86882,86902) = 3775109782