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What is the Least Common Multiple of 63851 and 63856?

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 63851 and 63856 is 4077269456.

LCM(63851,63856) = 4077269456

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Least Common Multiple of 63851 and 63856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63851 and 63856, than apply into the LCM equation.

GCF(63851,63856) = 1
LCM(63851,63856) = ( 63851 × 63856) / 1
LCM(63851,63856) = 4077269456 / 1
LCM(63851,63856) = 4077269456

Least Common Multiple (LCM) of 63851 and 63856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63851 and 63856. First we will calculate the prime factors of 63851 and 63856.

Prime Factorization of 63851

Prime factors of 63851 are 67, 953. Prime factorization of 63851 in exponential form is:

63851 = 671 × 9531

Prime Factorization of 63856

Prime factors of 63856 are 2, 13, 307. Prime factorization of 63856 in exponential form is:

63856 = 24 × 131 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 63851 and 63856.

LCM(63851,63856) = 671 × 9531 × 24 × 131 × 3071
LCM(63851,63856) = 4077269456