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What is the Least Common Multiple of 93093 and 93109?

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 93093 and 93109 is 8667796137.

LCM(93093,93109) = 8667796137

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Least Common Multiple of 93093 and 93109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93093 and 93109, than apply into the LCM equation.

GCF(93093,93109) = 1
LCM(93093,93109) = ( 93093 × 93109) / 1
LCM(93093,93109) = 8667796137 / 1
LCM(93093,93109) = 8667796137

Least Common Multiple (LCM) of 93093 and 93109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93093 and 93109. First we will calculate the prime factors of 93093 and 93109.

Prime Factorization of 93093

Prime factors of 93093 are 3, 7, 11, 13, 31. Prime factorization of 93093 in exponential form is:

93093 = 31 × 71 × 111 × 131 × 311

Prime Factorization of 93109

Prime factors of 93109 are 17, 5477. Prime factorization of 93109 in exponential form is:

93109 = 171 × 54771

Now multiplying the highest exponent prime factors to calculate the LCM of 93093 and 93109.

LCM(93093,93109) = 31 × 71 × 111 × 131 × 311 × 171 × 54771
LCM(93093,93109) = 8667796137