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What is the Least Common Multiple of 6800 and 6812?

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 6812 is 11580400.

LCM(6800,6812) = 11580400

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Least Common Multiple of 6800 and 6812 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 6812, than apply into the LCM equation.

GCF(6800,6812) = 4
LCM(6800,6812) = ( 6800 × 6812) / 4
LCM(6800,6812) = 46321600 / 4
LCM(6800,6812) = 11580400

Least Common Multiple (LCM) of 6800 and 6812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6812. First we will calculate the prime factors of 6800 and 6812.

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 6812

Prime factors of 6812 are 2, 13, 131. Prime factorization of 6812 in exponential form is:

6812 = 22 × 131 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6800 and 6812.

LCM(6800,6812) = 24 × 52 × 171 × 131 × 1311
LCM(6800,6812) = 11580400