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What is the Least Common Multiple of 95185 and 95195?

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 95185 and 95195 is 1812227215.

LCM(95185,95195) = 1812227215

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Least Common Multiple of 95185 and 95195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95185 and 95195, than apply into the LCM equation.

GCF(95185,95195) = 5
LCM(95185,95195) = ( 95185 × 95195) / 5
LCM(95185,95195) = 9061136075 / 5
LCM(95185,95195) = 1812227215

Least Common Multiple (LCM) of 95185 and 95195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95185 and 95195. First we will calculate the prime factors of 95185 and 95195.

Prime Factorization of 95185

Prime factors of 95185 are 5, 19037. Prime factorization of 95185 in exponential form is:

95185 = 51 × 190371

Prime Factorization of 95195

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

95195 = 51 × 791 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 95185 and 95195.

LCM(95185,95195) = 51 × 190371 × 791 × 2411
LCM(95185,95195) = 1812227215