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What is the Least Common Multiple of 63394 and 63405?

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 63394 and 63405 is 4019496570.

LCM(63394,63405) = 4019496570

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Least Common Multiple of 63394 and 63405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63394 and 63405, than apply into the LCM equation.

GCF(63394,63405) = 1
LCM(63394,63405) = ( 63394 × 63405) / 1
LCM(63394,63405) = 4019496570 / 1
LCM(63394,63405) = 4019496570

Least Common Multiple (LCM) of 63394 and 63405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63394 and 63405. First we will calculate the prime factors of 63394 and 63405.

Prime Factorization of 63394

Prime factors of 63394 are 2, 29, 1093. Prime factorization of 63394 in exponential form is:

63394 = 21 × 291 × 10931

Prime Factorization of 63405

Prime factors of 63405 are 3, 5, 1409. Prime factorization of 63405 in exponential form is:

63405 = 32 × 51 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 63394 and 63405.

LCM(63394,63405) = 21 × 291 × 10931 × 32 × 51 × 14091
LCM(63394,63405) = 4019496570