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What is the Least Common Multiple of 27002 and 27009?

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 27002 and 27009 is 729297018.

LCM(27002,27009) = 729297018

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Least Common Multiple of 27002 and 27009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27002 and 27009, than apply into the LCM equation.

GCF(27002,27009) = 1
LCM(27002,27009) = ( 27002 × 27009) / 1
LCM(27002,27009) = 729297018 / 1
LCM(27002,27009) = 729297018

Least Common Multiple (LCM) of 27002 and 27009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27002 and 27009. First we will calculate the prime factors of 27002 and 27009.

Prime Factorization of 27002

Prime factors of 27002 are 2, 23, 587. Prime factorization of 27002 in exponential form is:

27002 = 21 × 231 × 5871

Prime Factorization of 27009

Prime factors of 27009 are 3, 3001. Prime factorization of 27009 in exponential form is:

27009 = 32 × 30011

Now multiplying the highest exponent prime factors to calculate the LCM of 27002 and 27009.

LCM(27002,27009) = 21 × 231 × 5871 × 32 × 30011
LCM(27002,27009) = 729297018