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What is the Least Common Multiple of 6386 and 6400?

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 6386 and 6400 is 20435200.

LCM(6386,6400) = 20435200

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Least Common Multiple of 6386 and 6400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6386 and 6400, than apply into the LCM equation.

GCF(6386,6400) = 2
LCM(6386,6400) = ( 6386 × 6400) / 2
LCM(6386,6400) = 40870400 / 2
LCM(6386,6400) = 20435200

Least Common Multiple (LCM) of 6386 and 6400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6386 and 6400. First we will calculate the prime factors of 6386 and 6400.

Prime Factorization of 6386

Prime factors of 6386 are 2, 31, 103. Prime factorization of 6386 in exponential form is:

6386 = 21 × 311 × 1031

Prime Factorization of 6400

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

6400 = 28 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6400.

LCM(6386,6400) = 28 × 311 × 1031 × 52
LCM(6386,6400) = 20435200