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What is the Least Common Multiple of 6340 and 6346?

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 6340 and 6346 is 20116820.

LCM(6340,6346) = 20116820

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Least Common Multiple of 6340 and 6346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6340 and 6346, than apply into the LCM equation.

GCF(6340,6346) = 2
LCM(6340,6346) = ( 6340 × 6346) / 2
LCM(6340,6346) = 40233640 / 2
LCM(6340,6346) = 20116820

Least Common Multiple (LCM) of 6340 and 6346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6340 and 6346. First we will calculate the prime factors of 6340 and 6346.

Prime Factorization of 6340

Prime factors of 6340 are 2, 5, 317. Prime factorization of 6340 in exponential form is:

6340 = 22 × 51 × 3171

Prime Factorization of 6346

Prime factors of 6346 are 2, 19, 167. Prime factorization of 6346 in exponential form is:

6346 = 21 × 191 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 6340 and 6346.

LCM(6340,6346) = 22 × 51 × 3171 × 191 × 1671
LCM(6340,6346) = 20116820