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What is the Least Common Multiple of 6666 and 6682?

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 6666 and 6682 is 22271106.

LCM(6666,6682) = 22271106

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Least Common Multiple of 6666 and 6682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6666 and 6682, than apply into the LCM equation.

GCF(6666,6682) = 2
LCM(6666,6682) = ( 6666 × 6682) / 2
LCM(6666,6682) = 44542212 / 2
LCM(6666,6682) = 22271106

Least Common Multiple (LCM) of 6666 and 6682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6666 and 6682. First we will calculate the prime factors of 6666 and 6682.

Prime Factorization of 6666

Prime factors of 6666 are 2, 3, 11, 101. Prime factorization of 6666 in exponential form is:

6666 = 21 × 31 × 111 × 1011

Prime Factorization of 6682

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

6682 = 21 × 131 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 6666 and 6682.

LCM(6666,6682) = 21 × 31 × 111 × 1011 × 131 × 2571
LCM(6666,6682) = 22271106