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What is the Least Common Multiple of 95151 and 95165?

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 95151 and 95165 is 1293577845.

LCM(95151,95165) = 1293577845

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Least Common Multiple of 95151 and 95165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95151 and 95165, than apply into the LCM equation.

GCF(95151,95165) = 7
LCM(95151,95165) = ( 95151 × 95165) / 7
LCM(95151,95165) = 9055044915 / 7
LCM(95151,95165) = 1293577845

Least Common Multiple (LCM) of 95151 and 95165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95151 and 95165. First we will calculate the prime factors of 95151 and 95165.

Prime Factorization of 95151

Prime factors of 95151 are 3, 7, 23, 197. Prime factorization of 95151 in exponential form is:

95151 = 31 × 71 × 231 × 1971

Prime Factorization of 95165

Prime factors of 95165 are 5, 7, 2719. Prime factorization of 95165 in exponential form is:

95165 = 51 × 71 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 95151 and 95165.

LCM(95151,95165) = 31 × 71 × 231 × 1971 × 51 × 27191
LCM(95151,95165) = 1293577845