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What is the Least Common Multiple of 63891 and 63899?

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 63891 and 63899 is 4082571009.

LCM(63891,63899) = 4082571009

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Least Common Multiple of 63891 and 63899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63891 and 63899, than apply into the LCM equation.

GCF(63891,63899) = 1
LCM(63891,63899) = ( 63891 × 63899) / 1
LCM(63891,63899) = 4082571009 / 1
LCM(63891,63899) = 4082571009

Least Common Multiple (LCM) of 63891 and 63899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63891 and 63899. First we will calculate the prime factors of 63891 and 63899.

Prime Factorization of 63891

Prime factors of 63891 are 3, 31, 229. Prime factorization of 63891 in exponential form is:

63891 = 32 × 311 × 2291

Prime Factorization of 63899

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

63899 = 111 × 371 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 63891 and 63899.

LCM(63891,63899) = 32 × 311 × 2291 × 111 × 371 × 1571
LCM(63891,63899) = 4082571009