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What is the Least Common Multiple of 6682 and 6702?

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 6682 and 6702 is 22391382.

LCM(6682,6702) = 22391382

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Least Common Multiple of 6682 and 6702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6682 and 6702, than apply into the LCM equation.

GCF(6682,6702) = 2
LCM(6682,6702) = ( 6682 × 6702) / 2
LCM(6682,6702) = 44782764 / 2
LCM(6682,6702) = 22391382

Least Common Multiple (LCM) of 6682 and 6702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6682 and 6702. First we will calculate the prime factors of 6682 and 6702.

Prime Factorization of 6682

Prime factors of 6682 are 2, 13, 257. Prime factorization of 6682 in exponential form is:

6682 = 21 × 131 × 2571

Prime Factorization of 6702

Prime factors of 6702 are 2, 3, 1117. Prime factorization of 6702 in exponential form is:

6702 = 21 × 31 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 6682 and 6702.

LCM(6682,6702) = 21 × 131 × 2571 × 31 × 11171
LCM(6682,6702) = 22391382