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What is the Least Common Multiple of 2666 and 2673?

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 2673 is 7126218.

LCM(2666,2673) = 7126218

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Least Common Multiple of 2666 and 2673 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 2673, than apply into the LCM equation.

GCF(2666,2673) = 1
LCM(2666,2673) = ( 2666 × 2673) / 1
LCM(2666,2673) = 7126218 / 1
LCM(2666,2673) = 7126218

Least Common Multiple (LCM) of 2666 and 2673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2666 and 2673. First we will calculate the prime factors of 2666 and 2673.

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 2673

Prime factors of 2673 are 3, 11. Prime factorization of 2673 in exponential form is:

2673 = 35 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 2666 and 2673.

LCM(2666,2673) = 21 × 311 × 431 × 35 × 111
LCM(2666,2673) = 7126218