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What is the Least Common Multiple of 6400 and 6418?

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 6400 and 6418 is 20537600.

LCM(6400,6418) = 20537600

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Least Common Multiple of 6400 and 6418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6400 and 6418, than apply into the LCM equation.

GCF(6400,6418) = 2
LCM(6400,6418) = ( 6400 × 6418) / 2
LCM(6400,6418) = 41075200 / 2
LCM(6400,6418) = 20537600

Least Common Multiple (LCM) of 6400 and 6418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6400 and 6418. First we will calculate the prime factors of 6400 and 6418.

Prime Factorization of 6400

Prime factors of 6400 are 2, 5. Prime factorization of 6400 in exponential form is:

6400 = 28 × 52

Prime Factorization of 6418

Prime factors of 6418 are 2, 3209. Prime factorization of 6418 in exponential form is:

6418 = 21 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 6400 and 6418.

LCM(6400,6418) = 28 × 52 × 32091
LCM(6400,6418) = 20537600