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What is the Least Common Multiple of 3856 and 3864?

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 3856 and 3864 is 1862448.

LCM(3856,3864) = 1862448

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Least Common Multiple of 3856 and 3864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3856 and 3864, than apply into the LCM equation.

GCF(3856,3864) = 8
LCM(3856,3864) = ( 3856 × 3864) / 8
LCM(3856,3864) = 14899584 / 8
LCM(3856,3864) = 1862448

Least Common Multiple (LCM) of 3856 and 3864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3856 and 3864. First we will calculate the prime factors of 3856 and 3864.

Prime Factorization of 3856

Prime factors of 3856 are 2, 241. Prime factorization of 3856 in exponential form is:

3856 = 24 × 2411

Prime Factorization of 3864

Prime factors of 3864 are 2, 3, 7, 23. Prime factorization of 3864 in exponential form is:

3864 = 23 × 31 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 3856 and 3864.

LCM(3856,3864) = 24 × 2411 × 31 × 71 × 231
LCM(3856,3864) = 1862448