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What is the Least Common Multiple of 93335 and 93343?

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 93335 and 93343 is 8712168905.

LCM(93335,93343) = 8712168905

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Least Common Multiple of 93335 and 93343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93335 and 93343, than apply into the LCM equation.

GCF(93335,93343) = 1
LCM(93335,93343) = ( 93335 × 93343) / 1
LCM(93335,93343) = 8712168905 / 1
LCM(93335,93343) = 8712168905

Least Common Multiple (LCM) of 93335 and 93343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93335 and 93343. First we will calculate the prime factors of 93335 and 93343.

Prime Factorization of 93335

Prime factors of 93335 are 5, 11, 1697. Prime factorization of 93335 in exponential form is:

93335 = 51 × 111 × 16971

Prime Factorization of 93343

Prime factors of 93343 are 269, 347. Prime factorization of 93343 in exponential form is:

93343 = 2691 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 93335 and 93343.

LCM(93335,93343) = 51 × 111 × 16971 × 2691 × 3471
LCM(93335,93343) = 8712168905