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What is the Least Common Multiple of 63861 and 63873?

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 63861 and 63873 is 1359664551.

LCM(63861,63873) = 1359664551

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Least Common Multiple of 63861 and 63873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63861 and 63873, than apply into the LCM equation.

GCF(63861,63873) = 3
LCM(63861,63873) = ( 63861 × 63873) / 3
LCM(63861,63873) = 4078993653 / 3
LCM(63861,63873) = 1359664551

Least Common Multiple (LCM) of 63861 and 63873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63861 and 63873. First we will calculate the prime factors of 63861 and 63873.

Prime Factorization of 63861

Prime factors of 63861 are 3, 7, 3041. Prime factorization of 63861 in exponential form is:

63861 = 31 × 71 × 30411

Prime Factorization of 63873

Prime factors of 63873 are 3, 47, 151. Prime factorization of 63873 in exponential form is:

63873 = 32 × 471 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 63861 and 63873.

LCM(63861,63873) = 32 × 71 × 30411 × 471 × 1511
LCM(63861,63873) = 1359664551