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What is the Least Common Multiple of 63379 and 63395?

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 63379 and 63395 is 4017911705.

LCM(63379,63395) = 4017911705

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Least Common Multiple of 63379 and 63395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63379 and 63395, than apply into the LCM equation.

GCF(63379,63395) = 1
LCM(63379,63395) = ( 63379 × 63395) / 1
LCM(63379,63395) = 4017911705 / 1
LCM(63379,63395) = 4017911705

Least Common Multiple (LCM) of 63379 and 63395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63379 and 63395. First we will calculate the prime factors of 63379 and 63395.

Prime Factorization of 63379

Prime factors of 63379 are 61, 1039. Prime factorization of 63379 in exponential form is:

63379 = 611 × 10391

Prime Factorization of 63395

Prime factors of 63395 are 5, 31, 409. Prime factorization of 63395 in exponential form is:

63395 = 51 × 311 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 63379 and 63395.

LCM(63379,63395) = 611 × 10391 × 51 × 311 × 4091
LCM(63379,63395) = 4017911705