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What is the Least Common Multiple of 93369 and 93389?

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 93369 and 93389 is 8719637541.

LCM(93369,93389) = 8719637541

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Least Common Multiple of 93369 and 93389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93369 and 93389, than apply into the LCM equation.

GCF(93369,93389) = 1
LCM(93369,93389) = ( 93369 × 93389) / 1
LCM(93369,93389) = 8719637541 / 1
LCM(93369,93389) = 8719637541

Least Common Multiple (LCM) of 93369 and 93389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93369 and 93389. First we will calculate the prime factors of 93369 and 93389.

Prime Factorization of 93369

Prime factors of 93369 are 3, 31123. Prime factorization of 93369 in exponential form is:

93369 = 31 × 311231

Prime Factorization of 93389

Prime factors of 93389 are 47, 1987. Prime factorization of 93389 in exponential form is:

93389 = 471 × 19871

Now multiplying the highest exponent prime factors to calculate the LCM of 93369 and 93389.

LCM(93369,93389) = 31 × 311231 × 471 × 19871
LCM(93369,93389) = 8719637541