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What is the Least Common Multiple of 93365 and 93369?

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 93365 and 93369 is 8717396685.

LCM(93365,93369) = 8717396685

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Least Common Multiple of 93365 and 93369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93365 and 93369, than apply into the LCM equation.

GCF(93365,93369) = 1
LCM(93365,93369) = ( 93365 × 93369) / 1
LCM(93365,93369) = 8717396685 / 1
LCM(93365,93369) = 8717396685

Least Common Multiple (LCM) of 93365 and 93369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93365 and 93369. First we will calculate the prime factors of 93365 and 93369.

Prime Factorization of 93365

Prime factors of 93365 are 5, 71, 263. Prime factorization of 93365 in exponential form is:

93365 = 51 × 711 × 2631

Prime Factorization of 93369

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

93369 = 31 × 311231

Now multiplying the highest exponent prime factors to calculate the LCM of 93365 and 93369.

LCM(93365,93369) = 51 × 711 × 2631 × 31 × 311231
LCM(93365,93369) = 8717396685