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What is the Least Common Multiple of 27331 and 27345?

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 27331 and 27345 is 747366195.

LCM(27331,27345) = 747366195

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Least Common Multiple of 27331 and 27345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27331 and 27345, than apply into the LCM equation.

GCF(27331,27345) = 1
LCM(27331,27345) = ( 27331 × 27345) / 1
LCM(27331,27345) = 747366195 / 1
LCM(27331,27345) = 747366195

Least Common Multiple (LCM) of 27331 and 27345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27331 and 27345. First we will calculate the prime factors of 27331 and 27345.

Prime Factorization of 27331

Prime factors of 27331 are 151, 181. Prime factorization of 27331 in exponential form is:

27331 = 1511 × 1811

Prime Factorization of 27345

Prime factors of 27345 are 3, 5, 1823. Prime factorization of 27345 in exponential form is:

27345 = 31 × 51 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 27331 and 27345.

LCM(27331,27345) = 1511 × 1811 × 31 × 51 × 18231
LCM(27331,27345) = 747366195