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What is the Least Common Multiple of 93172 and 93184?

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 93172 and 93184 is 2170534912.

LCM(93172,93184) = 2170534912

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Least Common Multiple of 93172 and 93184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93172 and 93184, than apply into the LCM equation.

GCF(93172,93184) = 4
LCM(93172,93184) = ( 93172 × 93184) / 4
LCM(93172,93184) = 8682139648 / 4
LCM(93172,93184) = 2170534912

Least Common Multiple (LCM) of 93172 and 93184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93172 and 93184. First we will calculate the prime factors of 93172 and 93184.

Prime Factorization of 93172

Prime factors of 93172 are 2, 23293. Prime factorization of 93172 in exponential form is:

93172 = 22 × 232931

Prime Factorization of 93184

Prime factors of 93184 are 2, 7, 13. Prime factorization of 93184 in exponential form is:

93184 = 210 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 93172 and 93184.

LCM(93172,93184) = 210 × 232931 × 71 × 131
LCM(93172,93184) = 2170534912