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What is the Least Common Multiple of 93171 and 93177?

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 93177 is 2893798089.

LCM(93171,93177) = 2893798089

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Least Common Multiple of 93171 and 93177 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 93177, than apply into the LCM equation.

GCF(93171,93177) = 3
LCM(93171,93177) = ( 93171 × 93177) / 3
LCM(93171,93177) = 8681394267 / 3
LCM(93171,93177) = 2893798089

Least Common Multiple (LCM) of 93171 and 93177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93171 and 93177. First we will calculate the prime factors of 93171 and 93177.

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 93177

Prime factors of 93177 are 3, 7, 17, 29. Prime factorization of 93177 in exponential form is:

93177 = 33 × 71 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 93171 and 93177.

LCM(93171,93177) = 33 × 131 × 23891 × 71 × 171 × 291
LCM(93171,93177) = 2893798089