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What is the Least Common Multiple of 63878 and 63883?

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 63878 and 63883 is 4080718274.

LCM(63878,63883) = 4080718274

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Least Common Multiple of 63878 and 63883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63878 and 63883, than apply into the LCM equation.

GCF(63878,63883) = 1
LCM(63878,63883) = ( 63878 × 63883) / 1
LCM(63878,63883) = 4080718274 / 1
LCM(63878,63883) = 4080718274

Least Common Multiple (LCM) of 63878 and 63883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63878 and 63883. First we will calculate the prime factors of 63878 and 63883.

Prime Factorization of 63878

Prime factors of 63878 are 2, 19, 41. Prime factorization of 63878 in exponential form is:

63878 = 21 × 191 × 412

Prime Factorization of 63883

Prime factors of 63883 are 193, 331. Prime factorization of 63883 in exponential form is:

63883 = 1931 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 63878 and 63883.

LCM(63878,63883) = 21 × 191 × 412 × 1931 × 3311
LCM(63878,63883) = 4080718274