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What is the Least Common Multiple of 87831 and 87851?

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 87831 and 87851 is 7716041181.

LCM(87831,87851) = 7716041181

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Least Common Multiple of 87831 and 87851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87831 and 87851, than apply into the LCM equation.

GCF(87831,87851) = 1
LCM(87831,87851) = ( 87831 × 87851) / 1
LCM(87831,87851) = 7716041181 / 1
LCM(87831,87851) = 7716041181

Least Common Multiple (LCM) of 87831 and 87851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87831 and 87851. First we will calculate the prime factors of 87831 and 87851.

Prime Factorization of 87831

Prime factors of 87831 are 3, 3253. Prime factorization of 87831 in exponential form is:

87831 = 33 × 32531

Prime Factorization of 87851

Prime factors of 87851 are 59, 1489. Prime factorization of 87851 in exponential form is:

87851 = 591 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 87831 and 87851.

LCM(87831,87851) = 33 × 32531 × 591 × 14891
LCM(87831,87851) = 7716041181