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What is the Least Common Multiple of 27039 and 27043?

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 27039 and 27043 is 731215677.

LCM(27039,27043) = 731215677

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Least Common Multiple of 27039 and 27043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27039 and 27043, than apply into the LCM equation.

GCF(27039,27043) = 1
LCM(27039,27043) = ( 27039 × 27043) / 1
LCM(27039,27043) = 731215677 / 1
LCM(27039,27043) = 731215677

Least Common Multiple (LCM) of 27039 and 27043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27039 and 27043. First we will calculate the prime factors of 27039 and 27043.

Prime Factorization of 27039

Prime factors of 27039 are 3, 9013. Prime factorization of 27039 in exponential form is:

27039 = 31 × 90131

Prime Factorization of 27043

Prime factors of 27043 are 27043. Prime factorization of 27043 in exponential form is:

27043 = 270431

Now multiplying the highest exponent prime factors to calculate the LCM of 27039 and 27043.

LCM(27039,27043) = 31 × 90131 × 270431
LCM(27039,27043) = 731215677