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What is the Least Common Multiple of 51267 and 51275?

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 51267 and 51275 is 2628715425.

LCM(51267,51275) = 2628715425

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Least Common Multiple of 51267 and 51275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51267 and 51275, than apply into the LCM equation.

GCF(51267,51275) = 1
LCM(51267,51275) = ( 51267 × 51275) / 1
LCM(51267,51275) = 2628715425 / 1
LCM(51267,51275) = 2628715425

Least Common Multiple (LCM) of 51267 and 51275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51267 and 51275. First we will calculate the prime factors of 51267 and 51275.

Prime Factorization of 51267

Prime factors of 51267 are 3, 23, 743. Prime factorization of 51267 in exponential form is:

51267 = 31 × 231 × 7431

Prime Factorization of 51275

Prime factors of 51275 are 5, 7, 293. Prime factorization of 51275 in exponential form is:

51275 = 52 × 71 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 51267 and 51275.

LCM(51267,51275) = 31 × 231 × 7431 × 52 × 71 × 2931
LCM(51267,51275) = 2628715425