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What is the Least Common Multiple of 51031 and 51047?

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 51031 and 51047 is 2604979457.

LCM(51031,51047) = 2604979457

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Least Common Multiple of 51031 and 51047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51031 and 51047, than apply into the LCM equation.

GCF(51031,51047) = 1
LCM(51031,51047) = ( 51031 × 51047) / 1
LCM(51031,51047) = 2604979457 / 1
LCM(51031,51047) = 2604979457

Least Common Multiple (LCM) of 51031 and 51047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51031 and 51047. First we will calculate the prime factors of 51031 and 51047.

Prime Factorization of 51031

Prime factors of 51031 are 51031. Prime factorization of 51031 in exponential form is:

51031 = 510311

Prime Factorization of 51047

Prime factors of 51047 are 51047. Prime factorization of 51047 in exponential form is:

51047 = 510471

Now multiplying the highest exponent prime factors to calculate the LCM of 51031 and 51047.

LCM(51031,51047) = 510311 × 510471
LCM(51031,51047) = 2604979457