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What is the Least Common Multiple of 63899 and 63908?

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 63899 and 63908 is 4083657292.

LCM(63899,63908) = 4083657292

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Least Common Multiple of 63899 and 63908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63899 and 63908, than apply into the LCM equation.

GCF(63899,63908) = 1
LCM(63899,63908) = ( 63899 × 63908) / 1
LCM(63899,63908) = 4083657292 / 1
LCM(63899,63908) = 4083657292

Least Common Multiple (LCM) of 63899 and 63908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63899 and 63908. First we will calculate the prime factors of 63899 and 63908.

Prime Factorization of 63899

Prime factors of 63899 are 11, 37, 157. Prime factorization of 63899 in exponential form is:

63899 = 111 × 371 × 1571

Prime Factorization of 63908

Prime factors of 63908 are 2, 13, 1229. Prime factorization of 63908 in exponential form is:

63908 = 22 × 131 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 63899 and 63908.

LCM(63899,63908) = 111 × 371 × 1571 × 22 × 131 × 12291
LCM(63899,63908) = 4083657292