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What is the Least Common Multiple of 27066 and 27081?

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 27081 is 244324782.

LCM(27066,27081) = 244324782

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Least Common Multiple of 27066 and 27081 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 27081, than apply into the LCM equation.

GCF(27066,27081) = 3
LCM(27066,27081) = ( 27066 × 27081) / 3
LCM(27066,27081) = 732974346 / 3
LCM(27066,27081) = 244324782

Least Common Multiple (LCM) of 27066 and 27081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27066 and 27081. First we will calculate the prime factors of 27066 and 27081.

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 27081

Prime factors of 27081 are 3, 17, 59. Prime factorization of 27081 in exponential form is:

27081 = 33 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 27066 and 27081.

LCM(27066,27081) = 21 × 33 × 131 × 3471 × 171 × 591
LCM(27066,27081) = 244324782