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What is the Least Common Multiple of 2666 and 2683?

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 2683 is 7152878.

LCM(2666,2683) = 7152878

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Least Common Multiple of 2666 and 2683 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 2683, than apply into the LCM equation.

GCF(2666,2683) = 1
LCM(2666,2683) = ( 2666 × 2683) / 1
LCM(2666,2683) = 7152878 / 1
LCM(2666,2683) = 7152878

Least Common Multiple (LCM) of 2666 and 2683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2666 and 2683. First we will calculate the prime factors of 2666 and 2683.

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 2683

Prime factors of 2683 are 2683. Prime factorization of 2683 in exponential form is:

2683 = 26831

Now multiplying the highest exponent prime factors to calculate the LCM of 2666 and 2683.

LCM(2666,2683) = 21 × 311 × 431 × 26831
LCM(2666,2683) = 7152878