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What is the Least Common Multiple of 27151 and 27165?

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 27151 and 27165 is 737556915.

LCM(27151,27165) = 737556915

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Least Common Multiple of 27151 and 27165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27151 and 27165, than apply into the LCM equation.

GCF(27151,27165) = 1
LCM(27151,27165) = ( 27151 × 27165) / 1
LCM(27151,27165) = 737556915 / 1
LCM(27151,27165) = 737556915

Least Common Multiple (LCM) of 27151 and 27165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27151 and 27165. First we will calculate the prime factors of 27151 and 27165.

Prime Factorization of 27151

Prime factors of 27151 are 19, 1429. Prime factorization of 27151 in exponential form is:

27151 = 191 × 14291

Prime Factorization of 27165

Prime factors of 27165 are 3, 5, 1811. Prime factorization of 27165 in exponential form is:

27165 = 31 × 51 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 27151 and 27165.

LCM(27151,27165) = 191 × 14291 × 31 × 51 × 18111
LCM(27151,27165) = 737556915