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What is the Least Common Multiple of 63885 and 63889?

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 63885 and 63889 is 4081548765.

LCM(63885,63889) = 4081548765

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Least Common Multiple of 63885 and 63889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63885 and 63889, than apply into the LCM equation.

GCF(63885,63889) = 1
LCM(63885,63889) = ( 63885 × 63889) / 1
LCM(63885,63889) = 4081548765 / 1
LCM(63885,63889) = 4081548765

Least Common Multiple (LCM) of 63885 and 63889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63885 and 63889. First we will calculate the prime factors of 63885 and 63889.

Prime Factorization of 63885

Prime factors of 63885 are 3, 5, 4259. Prime factorization of 63885 in exponential form is:

63885 = 31 × 51 × 42591

Prime Factorization of 63889

Prime factors of 63889 are 7, 9127. Prime factorization of 63889 in exponential form is:

63889 = 71 × 91271

Now multiplying the highest exponent prime factors to calculate the LCM of 63885 and 63889.

LCM(63885,63889) = 31 × 51 × 42591 × 71 × 91271
LCM(63885,63889) = 4081548765