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What is the Least Common Multiple of 27006 and 27020?

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 27006 and 27020 is 52121580.

LCM(27006,27020) = 52121580

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Least Common Multiple of 27006 and 27020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27006 and 27020, than apply into the LCM equation.

GCF(27006,27020) = 14
LCM(27006,27020) = ( 27006 × 27020) / 14
LCM(27006,27020) = 729702120 / 14
LCM(27006,27020) = 52121580

Least Common Multiple (LCM) of 27006 and 27020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27006 and 27020. First we will calculate the prime factors of 27006 and 27020.

Prime Factorization of 27006

Prime factors of 27006 are 2, 3, 7, 643. Prime factorization of 27006 in exponential form is:

27006 = 21 × 31 × 71 × 6431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 27006 and 27020.

LCM(27006,27020) = 22 × 31 × 71 × 6431 × 51 × 1931
LCM(27006,27020) = 52121580