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What is the Least Common Multiple of 95190 and 95199?

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 95190 and 95199 is 3020664270.

LCM(95190,95199) = 3020664270

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Least Common Multiple of 95190 and 95199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95190 and 95199, than apply into the LCM equation.

GCF(95190,95199) = 3
LCM(95190,95199) = ( 95190 × 95199) / 3
LCM(95190,95199) = 9061992810 / 3
LCM(95190,95199) = 3020664270

Least Common Multiple (LCM) of 95190 and 95199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95190 and 95199. First we will calculate the prime factors of 95190 and 95199.

Prime Factorization of 95190

Prime factors of 95190 are 2, 3, 5, 19, 167. Prime factorization of 95190 in exponential form is:

95190 = 21 × 31 × 51 × 191 × 1671

Prime Factorization of 95199

Prime factors of 95199 are 3, 13, 2441. Prime factorization of 95199 in exponential form is:

95199 = 31 × 131 × 24411

Now multiplying the highest exponent prime factors to calculate the LCM of 95190 and 95199.

LCM(95190,95199) = 21 × 31 × 51 × 191 × 1671 × 131 × 24411
LCM(95190,95199) = 3020664270