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What is the Least Common Multiple of 87873 and 87886?

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 87873 and 87886 is 7722806478.

LCM(87873,87886) = 7722806478

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Least Common Multiple of 87873 and 87886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87873 and 87886, than apply into the LCM equation.

GCF(87873,87886) = 1
LCM(87873,87886) = ( 87873 × 87886) / 1
LCM(87873,87886) = 7722806478 / 1
LCM(87873,87886) = 7722806478

Least Common Multiple (LCM) of 87873 and 87886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87873 and 87886. First we will calculate the prime factors of 87873 and 87886.

Prime Factorization of 87873

Prime factors of 87873 are 3, 17, 1723. Prime factorization of 87873 in exponential form is:

87873 = 31 × 171 × 17231

Prime Factorization of 87886

Prime factors of 87886 are 2, 43943. Prime factorization of 87886 in exponential form is:

87886 = 21 × 439431

Now multiplying the highest exponent prime factors to calculate the LCM of 87873 and 87886.

LCM(87873,87886) = 31 × 171 × 17231 × 21 × 439431
LCM(87873,87886) = 7722806478