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What is the Least Common Multiple of 16804 and 16824?

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 16804 and 16824 is 70677624.

LCM(16804,16824) = 70677624

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Least Common Multiple of 16804 and 16824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16804 and 16824, than apply into the LCM equation.

GCF(16804,16824) = 4
LCM(16804,16824) = ( 16804 × 16824) / 4
LCM(16804,16824) = 282710496 / 4
LCM(16804,16824) = 70677624

Least Common Multiple (LCM) of 16804 and 16824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16804 and 16824. First we will calculate the prime factors of 16804 and 16824.

Prime Factorization of 16804

Prime factors of 16804 are 2, 4201. Prime factorization of 16804 in exponential form is:

16804 = 22 × 42011

Prime Factorization of 16824

Prime factors of 16824 are 2, 3, 701. Prime factorization of 16824 in exponential form is:

16824 = 23 × 31 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 16804 and 16824.

LCM(16804,16824) = 23 × 42011 × 31 × 7011
LCM(16804,16824) = 70677624