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What is the Least Common Multiple of 27027 and 27047?

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 27027 and 27047 is 730999269.

LCM(27027,27047) = 730999269

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Least Common Multiple of 27027 and 27047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27027 and 27047, than apply into the LCM equation.

GCF(27027,27047) = 1
LCM(27027,27047) = ( 27027 × 27047) / 1
LCM(27027,27047) = 730999269 / 1
LCM(27027,27047) = 730999269

Least Common Multiple (LCM) of 27027 and 27047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27027 and 27047. First we will calculate the prime factors of 27027 and 27047.

Prime Factorization of 27027

Prime factors of 27027 are 3, 7, 11, 13. Prime factorization of 27027 in exponential form is:

27027 = 33 × 71 × 111 × 131

Prime Factorization of 27047

Prime factors of 27047 are 17, 37, 43. Prime factorization of 27047 in exponential form is:

27047 = 171 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 27027 and 27047.

LCM(27027,27047) = 33 × 71 × 111 × 131 × 171 × 371 × 431
LCM(27027,27047) = 730999269