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What is the Least Common Multiple of 6828 and 6844?

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 6828 and 6844 is 11682708.

LCM(6828,6844) = 11682708

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Least Common Multiple of 6828 and 6844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6828 and 6844, than apply into the LCM equation.

GCF(6828,6844) = 4
LCM(6828,6844) = ( 6828 × 6844) / 4
LCM(6828,6844) = 46730832 / 4
LCM(6828,6844) = 11682708

Least Common Multiple (LCM) of 6828 and 6844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6828 and 6844. First we will calculate the prime factors of 6828 and 6844.

Prime Factorization of 6828

Prime factors of 6828 are 2, 3, 569. Prime factorization of 6828 in exponential form is:

6828 = 22 × 31 × 5691

Prime Factorization of 6844

Prime factors of 6844 are 2, 29, 59. Prime factorization of 6844 in exponential form is:

6844 = 22 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 6828 and 6844.

LCM(6828,6844) = 22 × 31 × 5691 × 291 × 591
LCM(6828,6844) = 11682708