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What is the Least Common Multiple of 56342 and 56361?

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 56342 and 56361 is 3175491462.

LCM(56342,56361) = 3175491462

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Least Common Multiple of 56342 and 56361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56342 and 56361, than apply into the LCM equation.

GCF(56342,56361) = 1
LCM(56342,56361) = ( 56342 × 56361) / 1
LCM(56342,56361) = 3175491462 / 1
LCM(56342,56361) = 3175491462

Least Common Multiple (LCM) of 56342 and 56361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56342 and 56361. First we will calculate the prime factors of 56342 and 56361.

Prime Factorization of 56342

Prime factors of 56342 are 2, 11, 13, 197. Prime factorization of 56342 in exponential form is:

56342 = 21 × 111 × 131 × 1971

Prime Factorization of 56361

Prime factors of 56361 are 3, 18787. Prime factorization of 56361 in exponential form is:

56361 = 31 × 187871

Now multiplying the highest exponent prime factors to calculate the LCM of 56342 and 56361.

LCM(56342,56361) = 21 × 111 × 131 × 1971 × 31 × 187871
LCM(56342,56361) = 3175491462