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What is the Least Common Multiple of 85427 and 85431?

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 85427 and 85431 is 7298114037.

LCM(85427,85431) = 7298114037

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Least Common Multiple of 85427 and 85431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85427 and 85431, than apply into the LCM equation.

GCF(85427,85431) = 1
LCM(85427,85431) = ( 85427 × 85431) / 1
LCM(85427,85431) = 7298114037 / 1
LCM(85427,85431) = 7298114037

Least Common Multiple (LCM) of 85427 and 85431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85427 and 85431. First we will calculate the prime factors of 85427 and 85431.

Prime Factorization of 85427

Prime factors of 85427 are 85427. Prime factorization of 85427 in exponential form is:

85427 = 854271

Prime Factorization of 85431

Prime factors of 85431 are 3, 28477. Prime factorization of 85431 in exponential form is:

85431 = 31 × 284771

Now multiplying the highest exponent prime factors to calculate the LCM of 85427 and 85431.

LCM(85427,85431) = 854271 × 31 × 284771
LCM(85427,85431) = 7298114037