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What is the Least Common Multiple of 93335 and 93341?

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 93341 is 8711982235.

LCM(93335,93341) = 8711982235

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Least Common Multiple of 93335 and 93341 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 93341, than apply into the LCM equation.

GCF(93335,93341) = 1
LCM(93335,93341) = ( 93335 × 93341) / 1
LCM(93335,93341) = 8711982235 / 1
LCM(93335,93341) = 8711982235

Least Common Multiple (LCM) of 93335 and 93341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93335 and 93341. First we will calculate the prime factors of 93335 and 93341.

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 93341

Prime factors of 93341 are 31, 3011. Prime factorization of 93341 in exponential form is:

93341 = 311 × 30111

Now multiplying the highest exponent prime factors to calculate the LCM of 93335 and 93341.

LCM(93335,93341) = 51 × 111 × 16971 × 311 × 30111
LCM(93335,93341) = 8711982235