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What is the Least Common Multiple of 95173 and 95179?

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 95173 and 95179 is 9058470967.

LCM(95173,95179) = 9058470967

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Least Common Multiple of 95173 and 95179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95173 and 95179, than apply into the LCM equation.

GCF(95173,95179) = 1
LCM(95173,95179) = ( 95173 × 95179) / 1
LCM(95173,95179) = 9058470967 / 1
LCM(95173,95179) = 9058470967

Least Common Multiple (LCM) of 95173 and 95179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95173 and 95179. First we will calculate the prime factors of 95173 and 95179.

Prime Factorization of 95173

Prime factors of 95173 are 13, 7321. Prime factorization of 95173 in exponential form is:

95173 = 131 × 73211

Prime Factorization of 95179

Prime factors of 95179 are 7, 13597. Prime factorization of 95179 in exponential form is:

95179 = 71 × 135971

Now multiplying the highest exponent prime factors to calculate the LCM of 95173 and 95179.

LCM(95173,95179) = 131 × 73211 × 71 × 135971
LCM(95173,95179) = 9058470967