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What is the Least Common Multiple of 95307 and 95319?

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 95307 and 95319 is 3028189311.

LCM(95307,95319) = 3028189311

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Least Common Multiple of 95307 and 95319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95307 and 95319, than apply into the LCM equation.

GCF(95307,95319) = 3
LCM(95307,95319) = ( 95307 × 95319) / 3
LCM(95307,95319) = 9084567933 / 3
LCM(95307,95319) = 3028189311

Least Common Multiple (LCM) of 95307 and 95319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95307 and 95319. First we will calculate the prime factors of 95307 and 95319.

Prime Factorization of 95307

Prime factors of 95307 are 3, 31769. Prime factorization of 95307 in exponential form is:

95307 = 31 × 317691

Prime Factorization of 95319

Prime factors of 95319 are 3, 7, 17, 89. Prime factorization of 95319 in exponential form is:

95319 = 32 × 71 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 95307 and 95319.

LCM(95307,95319) = 32 × 317691 × 71 × 171 × 891
LCM(95307,95319) = 3028189311