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What is the Least Common Multiple of 12346 and 12361?

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 12346 and 12361 is 152608906.

LCM(12346,12361) = 152608906

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Least Common Multiple of 12346 and 12361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12346 and 12361, than apply into the LCM equation.

GCF(12346,12361) = 1
LCM(12346,12361) = ( 12346 × 12361) / 1
LCM(12346,12361) = 152608906 / 1
LCM(12346,12361) = 152608906

Least Common Multiple (LCM) of 12346 and 12361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12346 and 12361. First we will calculate the prime factors of 12346 and 12361.

Prime Factorization of 12346

Prime factors of 12346 are 2, 6173. Prime factorization of 12346 in exponential form is:

12346 = 21 × 61731

Prime Factorization of 12361

Prime factors of 12361 are 47, 263. Prime factorization of 12361 in exponential form is:

12361 = 471 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 12346 and 12361.

LCM(12346,12361) = 21 × 61731 × 471 × 2631
LCM(12346,12361) = 152608906