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What is the Least Common Multiple of 27666 and 27673?

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 27666 and 27673 is 765601218.

LCM(27666,27673) = 765601218

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Least Common Multiple of 27666 and 27673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27666 and 27673, than apply into the LCM equation.

GCF(27666,27673) = 1
LCM(27666,27673) = ( 27666 × 27673) / 1
LCM(27666,27673) = 765601218 / 1
LCM(27666,27673) = 765601218

Least Common Multiple (LCM) of 27666 and 27673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27666 and 27673. First we will calculate the prime factors of 27666 and 27673.

Prime Factorization of 27666

Prime factors of 27666 are 2, 3, 29, 53. Prime factorization of 27666 in exponential form is:

27666 = 21 × 32 × 291 × 531

Prime Factorization of 27673

Prime factors of 27673 are 27673. Prime factorization of 27673 in exponential form is:

27673 = 276731

Now multiplying the highest exponent prime factors to calculate the LCM of 27666 and 27673.

LCM(27666,27673) = 21 × 32 × 291 × 531 × 276731
LCM(27666,27673) = 765601218