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What is the Least Common Multiple of 5682 and 5702?

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 5682 and 5702 is 16199382.

LCM(5682,5702) = 16199382

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Least Common Multiple of 5682 and 5702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5682 and 5702, than apply into the LCM equation.

GCF(5682,5702) = 2
LCM(5682,5702) = ( 5682 × 5702) / 2
LCM(5682,5702) = 32398764 / 2
LCM(5682,5702) = 16199382

Least Common Multiple (LCM) of 5682 and 5702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5682 and 5702. First we will calculate the prime factors of 5682 and 5702.

Prime Factorization of 5682

Prime factors of 5682 are 2, 3, 947. Prime factorization of 5682 in exponential form is:

5682 = 21 × 31 × 9471

Prime Factorization of 5702

Prime factors of 5702 are 2, 2851. Prime factorization of 5702 in exponential form is:

5702 = 21 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 5682 and 5702.

LCM(5682,5702) = 21 × 31 × 9471 × 28511
LCM(5682,5702) = 16199382