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What is the Least Common Multiple of 95195 and 95207?

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 95195 and 95207 is 9063230365.

LCM(95195,95207) = 9063230365

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Least Common Multiple of 95195 and 95207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95195 and 95207, than apply into the LCM equation.

GCF(95195,95207) = 1
LCM(95195,95207) = ( 95195 × 95207) / 1
LCM(95195,95207) = 9063230365 / 1
LCM(95195,95207) = 9063230365

Least Common Multiple (LCM) of 95195 and 95207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95195 and 95207. First we will calculate the prime factors of 95195 and 95207.

Prime Factorization of 95195

Prime factors of 95195 are 5, 79, 241. Prime factorization of 95195 in exponential form is:

95195 = 51 × 791 × 2411

Prime Factorization of 95207

Prime factors of 95207 are 7, 29, 67. Prime factorization of 95207 in exponential form is:

95207 = 72 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 95195 and 95207.

LCM(95195,95207) = 51 × 791 × 2411 × 72 × 291 × 671
LCM(95195,95207) = 9063230365