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What is the Least Common Multiple of 58344 and 58349?

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 58344 and 58349 is 3404314056.

LCM(58344,58349) = 3404314056

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Least Common Multiple of 58344 and 58349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58344 and 58349, than apply into the LCM equation.

GCF(58344,58349) = 1
LCM(58344,58349) = ( 58344 × 58349) / 1
LCM(58344,58349) = 3404314056 / 1
LCM(58344,58349) = 3404314056

Least Common Multiple (LCM) of 58344 and 58349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58344 and 58349. First we will calculate the prime factors of 58344 and 58349.

Prime Factorization of 58344

Prime factors of 58344 are 2, 3, 11, 13, 17. Prime factorization of 58344 in exponential form is:

58344 = 23 × 31 × 111 × 131 × 171

Prime Factorization of 58349

Prime factors of 58349 are 19, 37, 83. Prime factorization of 58349 in exponential form is:

58349 = 191 × 371 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 58344 and 58349.

LCM(58344,58349) = 23 × 31 × 111 × 131 × 171 × 191 × 371 × 831
LCM(58344,58349) = 3404314056