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What is the Least Common Multiple of 63833 and 63847?

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 63833 and 63847 is 582220793.

LCM(63833,63847) = 582220793

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Least Common Multiple of 63833 and 63847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63833 and 63847, than apply into the LCM equation.

GCF(63833,63847) = 7
LCM(63833,63847) = ( 63833 × 63847) / 7
LCM(63833,63847) = 4075545551 / 7
LCM(63833,63847) = 582220793

Least Common Multiple (LCM) of 63833 and 63847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63833 and 63847. First we will calculate the prime factors of 63833 and 63847.

Prime Factorization of 63833

Prime factors of 63833 are 7, 11, 829. Prime factorization of 63833 in exponential form is:

63833 = 71 × 111 × 8291

Prime Factorization of 63847

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

63847 = 72 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 63833 and 63847.

LCM(63833,63847) = 72 × 111 × 8291 × 13031
LCM(63833,63847) = 582220793