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What is the Least Common Multiple of 6543 and 6560?

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 6543 and 6560 is 42922080.

LCM(6543,6560) = 42922080

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Least Common Multiple of 6543 and 6560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6543 and 6560, than apply into the LCM equation.

GCF(6543,6560) = 1
LCM(6543,6560) = ( 6543 × 6560) / 1
LCM(6543,6560) = 42922080 / 1
LCM(6543,6560) = 42922080

Least Common Multiple (LCM) of 6543 and 6560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6543 and 6560. First we will calculate the prime factors of 6543 and 6560.

Prime Factorization of 6543

Prime factors of 6543 are 3, 727. Prime factorization of 6543 in exponential form is:

6543 = 32 × 7271

Prime Factorization of 6560

Prime factors of 6560 are 2, 5, 41. Prime factorization of 6560 in exponential form is:

6560 = 25 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 6543 and 6560.

LCM(6543,6560) = 32 × 7271 × 25 × 51 × 411
LCM(6543,6560) = 42922080