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What is the Least Common Multiple of 63833 and 63846?

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 63846 is 4075481718.

LCM(63833,63846) = 4075481718

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Least Common Multiple of 63833 and 63846 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 63846, than apply into the LCM equation.

GCF(63833,63846) = 1
LCM(63833,63846) = ( 63833 × 63846) / 1
LCM(63833,63846) = 4075481718 / 1
LCM(63833,63846) = 4075481718

Least Common Multiple (LCM) of 63833 and 63846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63833 and 63846. First we will calculate the prime factors of 63833 and 63846.

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 63846

Prime factors of 63846 are 2, 3, 3547. Prime factorization of 63846 in exponential form is:

63846 = 21 × 32 × 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 63833 and 63846.

LCM(63833,63846) = 71 × 111 × 8291 × 21 × 32 × 35471
LCM(63833,63846) = 4075481718