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What is the Least Common Multiple of 95195 and 95206?

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 95206 is 9063135170.

LCM(95195,95206) = 9063135170

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Least Common Multiple of 95195 and 95206 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 95206, than apply into the LCM equation.

GCF(95195,95206) = 1
LCM(95195,95206) = ( 95195 × 95206) / 1
LCM(95195,95206) = 9063135170 / 1
LCM(95195,95206) = 9063135170

Least Common Multiple (LCM) of 95195 and 95206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95195 and 95206. First we will calculate the prime factors of 95195 and 95206.

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 95206

Prime factors of 95206 are 2, 181, 263. Prime factorization of 95206 in exponential form is:

95206 = 21 × 1811 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 95195 and 95206.

LCM(95195,95206) = 51 × 791 × 2411 × 21 × 1811 × 2631
LCM(95195,95206) = 9063135170