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What is the Least Common Multiple of 93171 and 93179?

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 93171 and 93179 is 8681580609.

LCM(93171,93179) = 8681580609

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Least Common Multiple of 93171 and 93179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93171 and 93179, than apply into the LCM equation.

GCF(93171,93179) = 1
LCM(93171,93179) = ( 93171 × 93179) / 1
LCM(93171,93179) = 8681580609 / 1
LCM(93171,93179) = 8681580609

Least Common Multiple (LCM) of 93171 and 93179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93171 and 93179. First we will calculate the prime factors of 93171 and 93179.

Prime Factorization of 93171

Prime factors of 93171 are 3, 13, 2389. Prime factorization of 93171 in exponential form is:

93171 = 31 × 131 × 23891

Prime Factorization of 93179

Prime factors of 93179 are 93179. Prime factorization of 93179 in exponential form is:

93179 = 931791

Now multiplying the highest exponent prime factors to calculate the LCM of 93171 and 93179.

LCM(93171,93179) = 31 × 131 × 23891 × 931791
LCM(93171,93179) = 8681580609