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What is the Least Common Multiple of 27004 and 27022?

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 27004 and 27022 is 364851044.

LCM(27004,27022) = 364851044

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Least Common Multiple of 27004 and 27022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27004 and 27022, than apply into the LCM equation.

GCF(27004,27022) = 2
LCM(27004,27022) = ( 27004 × 27022) / 2
LCM(27004,27022) = 729702088 / 2
LCM(27004,27022) = 364851044

Least Common Multiple (LCM) of 27004 and 27022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27004 and 27022. First we will calculate the prime factors of 27004 and 27022.

Prime Factorization of 27004

Prime factors of 27004 are 2, 43, 157. Prime factorization of 27004 in exponential form is:

27004 = 22 × 431 × 1571

Prime Factorization of 27022

Prime factors of 27022 are 2, 59, 229. Prime factorization of 27022 in exponential form is:

27022 = 21 × 591 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 27004 and 27022.

LCM(27004,27022) = 22 × 431 × 1571 × 591 × 2291
LCM(27004,27022) = 364851044