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What is the Least Common Multiple of 3808 and 3814?

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 3808 and 3814 is 7261856.

LCM(3808,3814) = 7261856

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Least Common Multiple of 3808 and 3814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3808 and 3814, than apply into the LCM equation.

GCF(3808,3814) = 2
LCM(3808,3814) = ( 3808 × 3814) / 2
LCM(3808,3814) = 14523712 / 2
LCM(3808,3814) = 7261856

Least Common Multiple (LCM) of 3808 and 3814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3808 and 3814. First we will calculate the prime factors of 3808 and 3814.

Prime Factorization of 3808

Prime factors of 3808 are 2, 7, 17. Prime factorization of 3808 in exponential form is:

3808 = 25 × 71 × 171

Prime Factorization of 3814

Prime factors of 3814 are 2, 1907. Prime factorization of 3814 in exponential form is:

3814 = 21 × 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 3808 and 3814.

LCM(3808,3814) = 25 × 71 × 171 × 19071
LCM(3808,3814) = 7261856