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What is the Least Common Multiple of 56391 and 56395?

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 56391 and 56395 is 3180170445.

LCM(56391,56395) = 3180170445

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Least Common Multiple of 56391 and 56395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56391 and 56395, than apply into the LCM equation.

GCF(56391,56395) = 1
LCM(56391,56395) = ( 56391 × 56395) / 1
LCM(56391,56395) = 3180170445 / 1
LCM(56391,56395) = 3180170445

Least Common Multiple (LCM) of 56391 and 56395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56391 and 56395. First we will calculate the prime factors of 56391 and 56395.

Prime Factorization of 56391

Prime factors of 56391 are 3, 18797. Prime factorization of 56391 in exponential form is:

56391 = 31 × 187971

Prime Factorization of 56395

Prime factors of 56395 are 5, 11279. Prime factorization of 56395 in exponential form is:

56395 = 51 × 112791

Now multiplying the highest exponent prime factors to calculate the LCM of 56391 and 56395.

LCM(56391,56395) = 31 × 187971 × 51 × 112791
LCM(56391,56395) = 3180170445