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What is the Least Common Multiple of 63899 and 63915?

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 63915 is 4084104585.

LCM(63899,63915) = 4084104585

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Least Common Multiple of 63899 and 63915 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 63915, than apply into the LCM equation.

GCF(63899,63915) = 1
LCM(63899,63915) = ( 63899 × 63915) / 1
LCM(63899,63915) = 4084104585 / 1
LCM(63899,63915) = 4084104585

Least Common Multiple (LCM) of 63899 and 63915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63899 and 63915. First we will calculate the prime factors of 63899 and 63915.

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 63915

Prime factors of 63915 are 3, 5, 4261. Prime factorization of 63915 in exponential form is:

63915 = 31 × 51 × 42611

Now multiplying the highest exponent prime factors to calculate the LCM of 63899 and 63915.

LCM(63899,63915) = 111 × 371 × 1571 × 31 × 51 × 42611
LCM(63899,63915) = 4084104585