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What is the Least Common Multiple of 63391 and 63409?

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 63391 and 63409 is 4019559919.

LCM(63391,63409) = 4019559919

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Least Common Multiple of 63391 and 63409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63391 and 63409, than apply into the LCM equation.

GCF(63391,63409) = 1
LCM(63391,63409) = ( 63391 × 63409) / 1
LCM(63391,63409) = 4019559919 / 1
LCM(63391,63409) = 4019559919

Least Common Multiple (LCM) of 63391 and 63409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63391 and 63409. First we will calculate the prime factors of 63391 and 63409.

Prime Factorization of 63391

Prime factors of 63391 are 63391. Prime factorization of 63391 in exponential form is:

63391 = 633911

Prime Factorization of 63409

Prime factors of 63409 are 63409. Prime factorization of 63409 in exponential form is:

63409 = 634091

Now multiplying the highest exponent prime factors to calculate the LCM of 63391 and 63409.

LCM(63391,63409) = 633911 × 634091
LCM(63391,63409) = 4019559919