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What is the Least Common Multiple of 50704 and 50711?

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 50704 and 50711 is 2571250544.

LCM(50704,50711) = 2571250544

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Least Common Multiple of 50704 and 50711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50704 and 50711, than apply into the LCM equation.

GCF(50704,50711) = 1
LCM(50704,50711) = ( 50704 × 50711) / 1
LCM(50704,50711) = 2571250544 / 1
LCM(50704,50711) = 2571250544

Least Common Multiple (LCM) of 50704 and 50711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50704 and 50711. First we will calculate the prime factors of 50704 and 50711.

Prime Factorization of 50704

Prime factors of 50704 are 2, 3169. Prime factorization of 50704 in exponential form is:

50704 = 24 × 31691

Prime Factorization of 50711

Prime factors of 50711 are 17, 19, 157. Prime factorization of 50711 in exponential form is:

50711 = 171 × 191 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 50704 and 50711.

LCM(50704,50711) = 24 × 31691 × 171 × 191 × 1571
LCM(50704,50711) = 2571250544