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What is the Least Common Multiple of 56347 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 56347 and 56361 is 3175773267.

LCM(56347,56361) = 3175773267

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Least Common Multiple of 56347 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 56347 and 56361, than apply into the LCM equation.

GCF(56347,56361) = 1
LCM(56347,56361) = ( 56347 × 56361) / 1
LCM(56347,56361) = 3175773267 / 1
LCM(56347,56361) = 3175773267

Least Common Multiple (LCM) of 56347 and 56361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56347 and 56361. First we will calculate the prime factors of 56347 and 56361.

Prime Factorization of 56347

Prime factors of 56347 are 29, 67. Prime factorization of 56347 in exponential form is:

56347 = 292 × 671

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 56347 and 56361.

LCM(56347,56361) = 292 × 671 × 31 × 187871
LCM(56347,56361) = 3175773267