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What is the Least Common Multiple of 27047 and 27057?

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 27047 and 27057 is 731810679.

LCM(27047,27057) = 731810679

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Least Common Multiple of 27047 and 27057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27047 and 27057, than apply into the LCM equation.

GCF(27047,27057) = 1
LCM(27047,27057) = ( 27047 × 27057) / 1
LCM(27047,27057) = 731810679 / 1
LCM(27047,27057) = 731810679

Least Common Multiple (LCM) of 27047 and 27057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27047 and 27057. First we will calculate the prime factors of 27047 and 27057.

Prime Factorization of 27047

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

27047 = 171 × 371 × 431

Prime Factorization of 27057

Prime factors of 27057 are 3, 29, 311. Prime factorization of 27057 in exponential form is:

27057 = 31 × 291 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 27047 and 27057.

LCM(27047,27057) = 171 × 371 × 431 × 31 × 291 × 3111
LCM(27047,27057) = 731810679