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What is the Least Common Multiple of 63844 and 63861?

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 63844 and 63861 is 4077141684.

LCM(63844,63861) = 4077141684

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Least Common Multiple of 63844 and 63861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63844 and 63861, than apply into the LCM equation.

GCF(63844,63861) = 1
LCM(63844,63861) = ( 63844 × 63861) / 1
LCM(63844,63861) = 4077141684 / 1
LCM(63844,63861) = 4077141684

Least Common Multiple (LCM) of 63844 and 63861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63844 and 63861. First we will calculate the prime factors of 63844 and 63861.

Prime Factorization of 63844

Prime factors of 63844 are 2, 11, 1451. Prime factorization of 63844 in exponential form is:

63844 = 22 × 111 × 14511

Prime Factorization of 63861

Prime factors of 63861 are 3, 7, 3041. Prime factorization of 63861 in exponential form is:

63861 = 31 × 71 × 30411

Now multiplying the highest exponent prime factors to calculate the LCM of 63844 and 63861.

LCM(63844,63861) = 22 × 111 × 14511 × 31 × 71 × 30411
LCM(63844,63861) = 4077141684