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What is the Least Common Multiple of 87866 and 87885?

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 87866 and 87885 is 7722103410.

LCM(87866,87885) = 7722103410

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Least Common Multiple of 87866 and 87885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87866 and 87885, than apply into the LCM equation.

GCF(87866,87885) = 1
LCM(87866,87885) = ( 87866 × 87885) / 1
LCM(87866,87885) = 7722103410 / 1
LCM(87866,87885) = 7722103410

Least Common Multiple (LCM) of 87866 and 87885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87866 and 87885. First we will calculate the prime factors of 87866 and 87885.

Prime Factorization of 87866

Prime factors of 87866 are 2, 43933. Prime factorization of 87866 in exponential form is:

87866 = 21 × 439331

Prime Factorization of 87885

Prime factors of 87885 are 3, 5, 7, 31. Prime factorization of 87885 in exponential form is:

87885 = 34 × 51 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 87866 and 87885.

LCM(87866,87885) = 21 × 439331 × 34 × 51 × 71 × 311
LCM(87866,87885) = 7722103410