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What is the Least Common Multiple of 6400 and 6411?

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 6411 is 41030400.

LCM(6400,6411) = 41030400

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Least Common Multiple of 6400 and 6411 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 6411, than apply into the LCM equation.

GCF(6400,6411) = 1
LCM(6400,6411) = ( 6400 × 6411) / 1
LCM(6400,6411) = 41030400 / 1
LCM(6400,6411) = 41030400

Least Common Multiple (LCM) of 6400 and 6411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6400 and 6411. First we will calculate the prime factors of 6400 and 6411.

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 6411

Prime factors of 6411 are 3, 2137. Prime factorization of 6411 in exponential form is:

6411 = 31 × 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 6400 and 6411.

LCM(6400,6411) = 28 × 52 × 31 × 21371
LCM(6400,6411) = 41030400