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What is the Least Common Multiple of 27066 and 27073?

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 27066 and 27073 is 732757818.

LCM(27066,27073) = 732757818

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Least Common Multiple of 27066 and 27073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27066 and 27073, than apply into the LCM equation.

GCF(27066,27073) = 1
LCM(27066,27073) = ( 27066 × 27073) / 1
LCM(27066,27073) = 732757818 / 1
LCM(27066,27073) = 732757818

Least Common Multiple (LCM) of 27066 and 27073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27066 and 27073. First we will calculate the prime factors of 27066 and 27073.

Prime Factorization of 27066

Prime factors of 27066 are 2, 3, 13, 347. Prime factorization of 27066 in exponential form is:

27066 = 21 × 31 × 131 × 3471

Prime Factorization of 27073

Prime factors of 27073 are 27073. Prime factorization of 27073 in exponential form is:

27073 = 270731

Now multiplying the highest exponent prime factors to calculate the LCM of 27066 and 27073.

LCM(27066,27073) = 21 × 31 × 131 × 3471 × 270731
LCM(27066,27073) = 732757818