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What is the Least Common Multiple of 87887 and 87895?

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 87887 and 87895 is 7724827865.

LCM(87887,87895) = 7724827865

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Least Common Multiple of 87887 and 87895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87887 and 87895, than apply into the LCM equation.

GCF(87887,87895) = 1
LCM(87887,87895) = ( 87887 × 87895) / 1
LCM(87887,87895) = 7724827865 / 1
LCM(87887,87895) = 7724827865

Least Common Multiple (LCM) of 87887 and 87895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87887 and 87895. First we will calculate the prime factors of 87887 and 87895.

Prime Factorization of 87887

Prime factors of 87887 are 87887. Prime factorization of 87887 in exponential form is:

87887 = 878871

Prime Factorization of 87895

Prime factors of 87895 are 5, 17579. Prime factorization of 87895 in exponential form is:

87895 = 51 × 175791

Now multiplying the highest exponent prime factors to calculate the LCM of 87887 and 87895.

LCM(87887,87895) = 878871 × 51 × 175791
LCM(87887,87895) = 7724827865