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What is the Least Common Multiple of 56397 and 56407?

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 56397 and 56407 is 3181185579.

LCM(56397,56407) = 3181185579

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Least Common Multiple of 56397 and 56407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56397 and 56407, than apply into the LCM equation.

GCF(56397,56407) = 1
LCM(56397,56407) = ( 56397 × 56407) / 1
LCM(56397,56407) = 3181185579 / 1
LCM(56397,56407) = 3181185579

Least Common Multiple (LCM) of 56397 and 56407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56397 and 56407. First we will calculate the prime factors of 56397 and 56407.

Prime Factorization of 56397

Prime factors of 56397 are 3, 11, 1709. Prime factorization of 56397 in exponential form is:

56397 = 31 × 111 × 17091

Prime Factorization of 56407

Prime factors of 56407 are 13, 4339. Prime factorization of 56407 in exponential form is:

56407 = 131 × 43391

Now multiplying the highest exponent prime factors to calculate the LCM of 56397 and 56407.

LCM(56397,56407) = 31 × 111 × 17091 × 131 × 43391
LCM(56397,56407) = 3181185579