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What is the Least Common Multiple of 86851 and 86867?

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 86851 and 86867 is 7544485817.

LCM(86851,86867) = 7544485817

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Least Common Multiple of 86851 and 86867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86851 and 86867, than apply into the LCM equation.

GCF(86851,86867) = 1
LCM(86851,86867) = ( 86851 × 86867) / 1
LCM(86851,86867) = 7544485817 / 1
LCM(86851,86867) = 7544485817

Least Common Multiple (LCM) of 86851 and 86867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86851 and 86867. First we will calculate the prime factors of 86851 and 86867.

Prime Factorization of 86851

Prime factors of 86851 are 86851. Prime factorization of 86851 in exponential form is:

86851 = 868511

Prime Factorization of 86867

Prime factors of 86867 are 11, 53, 149. Prime factorization of 86867 in exponential form is:

86867 = 111 × 531 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 86851 and 86867.

LCM(86851,86867) = 868511 × 111 × 531 × 1491
LCM(86851,86867) = 7544485817