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What is the Least Common Multiple of 27004 and 27015?

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 27015 is 729513060.

LCM(27004,27015) = 729513060

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Least Common Multiple of 27004 and 27015 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 27015, than apply into the LCM equation.

GCF(27004,27015) = 1
LCM(27004,27015) = ( 27004 × 27015) / 1
LCM(27004,27015) = 729513060 / 1
LCM(27004,27015) = 729513060

Least Common Multiple (LCM) of 27004 and 27015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27004 and 27015. First we will calculate the prime factors of 27004 and 27015.

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 27015

Prime factors of 27015 are 3, 5, 1801. Prime factorization of 27015 in exponential form is:

27015 = 31 × 51 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 27004 and 27015.

LCM(27004,27015) = 22 × 431 × 1571 × 31 × 51 × 18011
LCM(27004,27015) = 729513060