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What is the Least Common Multiple of 95181 and 95185?

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 95181 and 95185 is 9059803485.

LCM(95181,95185) = 9059803485

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Least Common Multiple of 95181 and 95185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95181 and 95185, than apply into the LCM equation.

GCF(95181,95185) = 1
LCM(95181,95185) = ( 95181 × 95185) / 1
LCM(95181,95185) = 9059803485 / 1
LCM(95181,95185) = 9059803485

Least Common Multiple (LCM) of 95181 and 95185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95181 and 95185. First we will calculate the prime factors of 95181 and 95185.

Prime Factorization of 95181

Prime factors of 95181 are 3, 31727. Prime factorization of 95181 in exponential form is:

95181 = 31 × 317271

Prime Factorization of 95185

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

95185 = 51 × 190371

Now multiplying the highest exponent prime factors to calculate the LCM of 95181 and 95185.

LCM(95181,95185) = 31 × 317271 × 51 × 190371
LCM(95181,95185) = 9059803485