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What is the Least Common Multiple of 27020 and 27039?

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 27020 and 27039 is 730593780.

LCM(27020,27039) = 730593780

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Least Common Multiple of 27020 and 27039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27020 and 27039, than apply into the LCM equation.

GCF(27020,27039) = 1
LCM(27020,27039) = ( 27020 × 27039) / 1
LCM(27020,27039) = 730593780 / 1
LCM(27020,27039) = 730593780

Least Common Multiple (LCM) of 27020 and 27039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27020 and 27039. First we will calculate the prime factors of 27020 and 27039.

Prime Factorization of 27020

Prime factors of 27020 are 2, 5, 7, 193. Prime factorization of 27020 in exponential form is:

27020 = 22 × 51 × 71 × 1931

Prime Factorization of 27039

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

27039 = 31 × 90131

Now multiplying the highest exponent prime factors to calculate the LCM of 27020 and 27039.

LCM(27020,27039) = 22 × 51 × 71 × 1931 × 31 × 90131
LCM(27020,27039) = 730593780