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What is the Least Common Multiple of 93165 and 93174?

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 93165 and 93174 is 2893518570.

LCM(93165,93174) = 2893518570

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Least Common Multiple of 93165 and 93174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93165 and 93174, than apply into the LCM equation.

GCF(93165,93174) = 3
LCM(93165,93174) = ( 93165 × 93174) / 3
LCM(93165,93174) = 8680555710 / 3
LCM(93165,93174) = 2893518570

Least Common Multiple (LCM) of 93165 and 93174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93165 and 93174. First we will calculate the prime factors of 93165 and 93174.

Prime Factorization of 93165

Prime factors of 93165 are 3, 5, 6211. Prime factorization of 93165 in exponential form is:

93165 = 31 × 51 × 62111

Prime Factorization of 93174

Prime factors of 93174 are 2, 3, 53, 293. Prime factorization of 93174 in exponential form is:

93174 = 21 × 31 × 531 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 93165 and 93174.

LCM(93165,93174) = 31 × 51 × 62111 × 21 × 531 × 2931
LCM(93165,93174) = 2893518570