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What is the Least Common Multiple of 6800 and 6819?

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 6800 and 6819 is 46369200.

LCM(6800,6819) = 46369200

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Least Common Multiple of 6800 and 6819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6800 and 6819, than apply into the LCM equation.

GCF(6800,6819) = 1
LCM(6800,6819) = ( 6800 × 6819) / 1
LCM(6800,6819) = 46369200 / 1
LCM(6800,6819) = 46369200

Least Common Multiple (LCM) of 6800 and 6819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6819. First we will calculate the prime factors of 6800 and 6819.

Prime Factorization of 6800

Prime factors of 6800 are 2, 5, 17. Prime factorization of 6800 in exponential form is:

6800 = 24 × 52 × 171

Prime Factorization of 6819

Prime factors of 6819 are 3, 2273. Prime factorization of 6819 in exponential form is:

6819 = 31 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 6800 and 6819.

LCM(6800,6819) = 24 × 52 × 171 × 31 × 22731
LCM(6800,6819) = 46369200