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What is the Least Common Multiple of 63824 and 63833?

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 63824 and 63833 is 4074077392.

LCM(63824,63833) = 4074077392

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Least Common Multiple of 63824 and 63833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63824 and 63833, than apply into the LCM equation.

GCF(63824,63833) = 1
LCM(63824,63833) = ( 63824 × 63833) / 1
LCM(63824,63833) = 4074077392 / 1
LCM(63824,63833) = 4074077392

Least Common Multiple (LCM) of 63824 and 63833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63824 and 63833. First we will calculate the prime factors of 63824 and 63833.

Prime Factorization of 63824

Prime factors of 63824 are 2, 3989. Prime factorization of 63824 in exponential form is:

63824 = 24 × 39891

Prime Factorization of 63833

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

63833 = 71 × 111 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 63824 and 63833.

LCM(63824,63833) = 24 × 39891 × 71 × 111 × 8291
LCM(63824,63833) = 4074077392