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What is the Least Common Multiple of 6818 and 6825?

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 6818 and 6825 is 6647550.

LCM(6818,6825) = 6647550

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Least Common Multiple of 6818 and 6825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6818 and 6825, than apply into the LCM equation.

GCF(6818,6825) = 7
LCM(6818,6825) = ( 6818 × 6825) / 7
LCM(6818,6825) = 46532850 / 7
LCM(6818,6825) = 6647550

Least Common Multiple (LCM) of 6818 and 6825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6818 and 6825. First we will calculate the prime factors of 6818 and 6825.

Prime Factorization of 6818

Prime factors of 6818 are 2, 7, 487. Prime factorization of 6818 in exponential form is:

6818 = 21 × 71 × 4871

Prime Factorization of 6825

Prime factors of 6825 are 3, 5, 7, 13. Prime factorization of 6825 in exponential form is:

6825 = 31 × 52 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 6818 and 6825.

LCM(6818,6825) = 21 × 71 × 4871 × 31 × 52 × 131
LCM(6818,6825) = 6647550