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What is the Least Common Multiple of 6680 and 6698?

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 6680 and 6698 is 22371320.

LCM(6680,6698) = 22371320

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Least Common Multiple of 6680 and 6698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6680 and 6698, than apply into the LCM equation.

GCF(6680,6698) = 2
LCM(6680,6698) = ( 6680 × 6698) / 2
LCM(6680,6698) = 44742640 / 2
LCM(6680,6698) = 22371320

Least Common Multiple (LCM) of 6680 and 6698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6680 and 6698. First we will calculate the prime factors of 6680 and 6698.

Prime Factorization of 6680

Prime factors of 6680 are 2, 5, 167. Prime factorization of 6680 in exponential form is:

6680 = 23 × 51 × 1671

Prime Factorization of 6698

Prime factors of 6698 are 2, 17, 197. Prime factorization of 6698 in exponential form is:

6698 = 21 × 171 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 6680 and 6698.

LCM(6680,6698) = 23 × 51 × 1671 × 171 × 1971
LCM(6680,6698) = 22371320