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What is the Least Common Multiple of 63847 and 63864?

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 63847 and 63864 is 4077524808.

LCM(63847,63864) = 4077524808

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Least Common Multiple of 63847 and 63864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63847 and 63864, than apply into the LCM equation.

GCF(63847,63864) = 1
LCM(63847,63864) = ( 63847 × 63864) / 1
LCM(63847,63864) = 4077524808 / 1
LCM(63847,63864) = 4077524808

Least Common Multiple (LCM) of 63847 and 63864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63847 and 63864. First we will calculate the prime factors of 63847 and 63864.

Prime Factorization of 63847

Prime factors of 63847 are 7, 1303. Prime factorization of 63847 in exponential form is:

63847 = 72 × 13031

Prime Factorization of 63864

Prime factors of 63864 are 2, 3, 887. Prime factorization of 63864 in exponential form is:

63864 = 23 × 32 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 63847 and 63864.

LCM(63847,63864) = 72 × 13031 × 23 × 32 × 8871
LCM(63847,63864) = 4077524808