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What is the Least Common Multiple of 93093 and 93111?

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 93111 is 2889327441.

LCM(93093,93111) = 2889327441

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Least Common Multiple of 93093 and 93111 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 93111, than apply into the LCM equation.

GCF(93093,93111) = 3
LCM(93093,93111) = ( 93093 × 93111) / 3
LCM(93093,93111) = 8667982323 / 3
LCM(93093,93111) = 2889327441

Least Common Multiple (LCM) of 93093 and 93111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93093 and 93111. First we will calculate the prime factors of 93093 and 93111.

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 93111

Prime factors of 93111 are 3, 41, 757. Prime factorization of 93111 in exponential form is:

93111 = 31 × 411 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 93093 and 93111.

LCM(93093,93111) = 31 × 71 × 111 × 131 × 311 × 411 × 7571
LCM(93093,93111) = 2889327441