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What is the Least Common Multiple of 27270 and 27289?

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 27270 and 27289 is 744171030.

LCM(27270,27289) = 744171030

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Least Common Multiple of 27270 and 27289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27270 and 27289, than apply into the LCM equation.

GCF(27270,27289) = 1
LCM(27270,27289) = ( 27270 × 27289) / 1
LCM(27270,27289) = 744171030 / 1
LCM(27270,27289) = 744171030

Least Common Multiple (LCM) of 27270 and 27289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27270 and 27289. First we will calculate the prime factors of 27270 and 27289.

Prime Factorization of 27270

Prime factors of 27270 are 2, 3, 5, 101. Prime factorization of 27270 in exponential form is:

27270 = 21 × 33 × 51 × 1011

Prime Factorization of 27289

Prime factors of 27289 are 29, 941. Prime factorization of 27289 in exponential form is:

27289 = 291 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 27270 and 27289.

LCM(27270,27289) = 21 × 33 × 51 × 1011 × 291 × 9411
LCM(27270,27289) = 744171030