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What is the Least Common Multiple of 51263 and 51271?

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 51263 and 51271 is 2628305273.

LCM(51263,51271) = 2628305273

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Least Common Multiple of 51263 and 51271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51263 and 51271, than apply into the LCM equation.

GCF(51263,51271) = 1
LCM(51263,51271) = ( 51263 × 51271) / 1
LCM(51263,51271) = 2628305273 / 1
LCM(51263,51271) = 2628305273

Least Common Multiple (LCM) of 51263 and 51271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51263 and 51271. First we will calculate the prime factors of 51263 and 51271.

Prime Factorization of 51263

Prime factors of 51263 are 51263. Prime factorization of 51263 in exponential form is:

51263 = 512631

Prime Factorization of 51271

Prime factors of 51271 are 11, 59, 79. Prime factorization of 51271 in exponential form is:

51271 = 111 × 591 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 51263 and 51271.

LCM(51263,51271) = 512631 × 111 × 591 × 791
LCM(51263,51271) = 2628305273