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What is the Least Common Multiple of 93099 and 93103?

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 93099 and 93103 is 8667796197.

LCM(93099,93103) = 8667796197

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Least Common Multiple of 93099 and 93103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93099 and 93103, than apply into the LCM equation.

GCF(93099,93103) = 1
LCM(93099,93103) = ( 93099 × 93103) / 1
LCM(93099,93103) = 8667796197 / 1
LCM(93099,93103) = 8667796197

Least Common Multiple (LCM) of 93099 and 93103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93099 and 93103. First we will calculate the prime factors of 93099 and 93103.

Prime Factorization of 93099

Prime factors of 93099 are 3, 31033. Prime factorization of 93099 in exponential form is:

93099 = 31 × 310331

Prime Factorization of 93103

Prime factors of 93103 are 93103. Prime factorization of 93103 in exponential form is:

93103 = 931031

Now multiplying the highest exponent prime factors to calculate the LCM of 93099 and 93103.

LCM(93099,93103) = 31 × 310331 × 931031
LCM(93099,93103) = 8667796197