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What is the Least Common Multiple of 95093 and 95110?

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 95093 and 95110 is 9044295230.

LCM(95093,95110) = 9044295230

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Least Common Multiple of 95093 and 95110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95093 and 95110, than apply into the LCM equation.

GCF(95093,95110) = 1
LCM(95093,95110) = ( 95093 × 95110) / 1
LCM(95093,95110) = 9044295230 / 1
LCM(95093,95110) = 9044295230

Least Common Multiple (LCM) of 95093 and 95110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95093 and 95110. First we will calculate the prime factors of 95093 and 95110.

Prime Factorization of 95093

Prime factors of 95093 are 95093. Prime factorization of 95093 in exponential form is:

95093 = 950931

Prime Factorization of 95110

Prime factors of 95110 are 2, 5, 9511. Prime factorization of 95110 in exponential form is:

95110 = 21 × 51 × 95111

Now multiplying the highest exponent prime factors to calculate the LCM of 95093 and 95110.

LCM(95093,95110) = 950931 × 21 × 51 × 95111
LCM(95093,95110) = 9044295230