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What is the Least Common Multiple of 6800 and 6816?

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 6816 is 2896800.

LCM(6800,6816) = 2896800

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Least Common Multiple of 6800 and 6816 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 6816, than apply into the LCM equation.

GCF(6800,6816) = 16
LCM(6800,6816) = ( 6800 × 6816) / 16
LCM(6800,6816) = 46348800 / 16
LCM(6800,6816) = 2896800

Least Common Multiple (LCM) of 6800 and 6816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6816. First we will calculate the prime factors of 6800 and 6816.

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 6816

Prime factors of 6816 are 2, 3, 71. Prime factorization of 6816 in exponential form is:

6816 = 25 × 31 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 6800 and 6816.

LCM(6800,6816) = 25 × 52 × 171 × 31 × 711
LCM(6800,6816) = 2896800