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What is the Least Common Multiple of 92089 and 92093?

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 92089 and 92093 is 8480752277.

LCM(92089,92093) = 8480752277

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Least Common Multiple of 92089 and 92093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92089 and 92093, than apply into the LCM equation.

GCF(92089,92093) = 1
LCM(92089,92093) = ( 92089 × 92093) / 1
LCM(92089,92093) = 8480752277 / 1
LCM(92089,92093) = 8480752277

Least Common Multiple (LCM) of 92089 and 92093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92089 and 92093. First we will calculate the prime factors of 92089 and 92093.

Prime Factorization of 92089

Prime factors of 92089 are 17, 5417. Prime factorization of 92089 in exponential form is:

92089 = 171 × 54171

Prime Factorization of 92093

Prime factors of 92093 are 19, 37, 131. Prime factorization of 92093 in exponential form is:

92093 = 191 × 371 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 92089 and 92093.

LCM(92089,92093) = 171 × 54171 × 191 × 371 × 1311
LCM(92089,92093) = 8480752277