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What is the Least Common Multiple of 93337 and 93344?

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 93337 and 93344 is 8712448928.

LCM(93337,93344) = 8712448928

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Least Common Multiple of 93337 and 93344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93337 and 93344, than apply into the LCM equation.

GCF(93337,93344) = 1
LCM(93337,93344) = ( 93337 × 93344) / 1
LCM(93337,93344) = 8712448928 / 1
LCM(93337,93344) = 8712448928

Least Common Multiple (LCM) of 93337 and 93344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93337 and 93344. First we will calculate the prime factors of 93337 and 93344.

Prime Factorization of 93337

Prime factors of 93337 are 93337. Prime factorization of 93337 in exponential form is:

93337 = 933371

Prime Factorization of 93344

Prime factors of 93344 are 2, 2917. Prime factorization of 93344 in exponential form is:

93344 = 25 × 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 93337 and 93344.

LCM(93337,93344) = 933371 × 25 × 29171
LCM(93337,93344) = 8712448928