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What is the Least Common Multiple of 95159 and 95166?

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 95159 and 95166 is 9055901394.

LCM(95159,95166) = 9055901394

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Least Common Multiple of 95159 and 95166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95159 and 95166, than apply into the LCM equation.

GCF(95159,95166) = 1
LCM(95159,95166) = ( 95159 × 95166) / 1
LCM(95159,95166) = 9055901394 / 1
LCM(95159,95166) = 9055901394

Least Common Multiple (LCM) of 95159 and 95166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95159 and 95166. First we will calculate the prime factors of 95159 and 95166.

Prime Factorization of 95159

Prime factors of 95159 are 43, 2213. Prime factorization of 95159 in exponential form is:

95159 = 431 × 22131

Prime Factorization of 95166

Prime factors of 95166 are 2, 3, 17, 311. Prime factorization of 95166 in exponential form is:

95166 = 21 × 32 × 171 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 95159 and 95166.

LCM(95159,95166) = 431 × 22131 × 21 × 32 × 171 × 3111
LCM(95159,95166) = 9055901394