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What is the Least Common Multiple of 2666 and 2682?

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 2666 and 2682 is 3575106.

LCM(2666,2682) = 3575106

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Least Common Multiple of 2666 and 2682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2666 and 2682, than apply into the LCM equation.

GCF(2666,2682) = 2
LCM(2666,2682) = ( 2666 × 2682) / 2
LCM(2666,2682) = 7150212 / 2
LCM(2666,2682) = 3575106

Least Common Multiple (LCM) of 2666 and 2682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2666 and 2682. First we will calculate the prime factors of 2666 and 2682.

Prime Factorization of 2666

Prime factors of 2666 are 2, 31, 43. Prime factorization of 2666 in exponential form is:

2666 = 21 × 311 × 431

Prime Factorization of 2682

Prime factors of 2682 are 2, 3, 149. Prime factorization of 2682 in exponential form is:

2682 = 21 × 32 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2666 and 2682.

LCM(2666,2682) = 21 × 311 × 431 × 32 × 1491
LCM(2666,2682) = 3575106