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What is the Least Common Multiple of 12349 and 12365?

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 12349 and 12365 is 152695385.

LCM(12349,12365) = 152695385

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Least Common Multiple of 12349 and 12365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12349 and 12365, than apply into the LCM equation.

GCF(12349,12365) = 1
LCM(12349,12365) = ( 12349 × 12365) / 1
LCM(12349,12365) = 152695385 / 1
LCM(12349,12365) = 152695385

Least Common Multiple (LCM) of 12349 and 12365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12349 and 12365. First we will calculate the prime factors of 12349 and 12365.

Prime Factorization of 12349

Prime factors of 12349 are 53, 233. Prime factorization of 12349 in exponential form is:

12349 = 531 × 2331

Prime Factorization of 12365

Prime factors of 12365 are 5, 2473. Prime factorization of 12365 in exponential form is:

12365 = 51 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 12349 and 12365.

LCM(12349,12365) = 531 × 2331 × 51 × 24731
LCM(12349,12365) = 152695385