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What is the Least Common Multiple of 95195 and 95200?

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 95200 is 1812512800.

LCM(95195,95200) = 1812512800

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Least Common Multiple of 95195 and 95200 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 95200, than apply into the LCM equation.

GCF(95195,95200) = 5
LCM(95195,95200) = ( 95195 × 95200) / 5
LCM(95195,95200) = 9062564000 / 5
LCM(95195,95200) = 1812512800

Least Common Multiple (LCM) of 95195 and 95200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95195 and 95200. First we will calculate the prime factors of 95195 and 95200.

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 95200

Prime factors of 95200 are 2, 5, 7, 17. Prime factorization of 95200 in exponential form is:

95200 = 25 × 52 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 95195 and 95200.

LCM(95195,95200) = 52 × 791 × 2411 × 25 × 71 × 171
LCM(95195,95200) = 1812512800