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What is the Least Common Multiple of 56385 and 56394?

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 56385 and 56394 is 353308410.

LCM(56385,56394) = 353308410

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Least Common Multiple of 56385 and 56394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56385 and 56394, than apply into the LCM equation.

GCF(56385,56394) = 9
LCM(56385,56394) = ( 56385 × 56394) / 9
LCM(56385,56394) = 3179775690 / 9
LCM(56385,56394) = 353308410

Least Common Multiple (LCM) of 56385 and 56394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56385 and 56394. First we will calculate the prime factors of 56385 and 56394.

Prime Factorization of 56385

Prime factors of 56385 are 3, 5, 7, 179. Prime factorization of 56385 in exponential form is:

56385 = 32 × 51 × 71 × 1791

Prime Factorization of 56394

Prime factors of 56394 are 2, 3, 13, 241. Prime factorization of 56394 in exponential form is:

56394 = 21 × 32 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 56385 and 56394.

LCM(56385,56394) = 32 × 51 × 71 × 1791 × 21 × 131 × 2411
LCM(56385,56394) = 353308410