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What is the Least Common Multiple of 93089 and 93105?

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 93089 and 93105 is 8667051345.

LCM(93089,93105) = 8667051345

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Least Common Multiple of 93089 and 93105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93089 and 93105, than apply into the LCM equation.

GCF(93089,93105) = 1
LCM(93089,93105) = ( 93089 × 93105) / 1
LCM(93089,93105) = 8667051345 / 1
LCM(93089,93105) = 8667051345

Least Common Multiple (LCM) of 93089 and 93105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93089 and 93105. First we will calculate the prime factors of 93089 and 93105.

Prime Factorization of 93089

Prime factors of 93089 are 93089. Prime factorization of 93089 in exponential form is:

93089 = 930891

Prime Factorization of 93105

Prime factors of 93105 are 3, 5, 2069. Prime factorization of 93105 in exponential form is:

93105 = 32 × 51 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 93089 and 93105.

LCM(93089,93105) = 930891 × 32 × 51 × 20691
LCM(93089,93105) = 8667051345