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What is the Least Common Multiple of 56394 and 56405?

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 56394 and 56405 is 3180903570.

LCM(56394,56405) = 3180903570

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Least Common Multiple of 56394 and 56405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56394 and 56405, than apply into the LCM equation.

GCF(56394,56405) = 1
LCM(56394,56405) = ( 56394 × 56405) / 1
LCM(56394,56405) = 3180903570 / 1
LCM(56394,56405) = 3180903570

Least Common Multiple (LCM) of 56394 and 56405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56394 and 56405. First we will calculate the prime factors of 56394 and 56405.

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

Prime Factorization of 56405

Prime factors of 56405 are 5, 29, 389. Prime factorization of 56405 in exponential form is:

56405 = 51 × 291 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 56394 and 56405.

LCM(56394,56405) = 21 × 32 × 131 × 2411 × 51 × 291 × 3891
LCM(56394,56405) = 3180903570