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What is the Least Common Multiple of 95251 and 95255?

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 95251 and 95255 is 9073134005.

LCM(95251,95255) = 9073134005

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Least Common Multiple of 95251 and 95255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95251 and 95255, than apply into the LCM equation.

GCF(95251,95255) = 1
LCM(95251,95255) = ( 95251 × 95255) / 1
LCM(95251,95255) = 9073134005 / 1
LCM(95251,95255) = 9073134005

Least Common Multiple (LCM) of 95251 and 95255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95251 and 95255. First we will calculate the prime factors of 95251 and 95255.

Prime Factorization of 95251

Prime factors of 95251 are 13, 17, 431. Prime factorization of 95251 in exponential form is:

95251 = 131 × 171 × 4311

Prime Factorization of 95255

Prime factors of 95255 are 5, 19051. Prime factorization of 95255 in exponential form is:

95255 = 51 × 190511

Now multiplying the highest exponent prime factors to calculate the LCM of 95251 and 95255.

LCM(95251,95255) = 131 × 171 × 4311 × 51 × 190511
LCM(95251,95255) = 9073134005