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What is the Least Common Multiple of 56568 and 56588?

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 56568 and 56588 is 800267496.

LCM(56568,56588) = 800267496

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Least Common Multiple of 56568 and 56588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56568 and 56588, than apply into the LCM equation.

GCF(56568,56588) = 4
LCM(56568,56588) = ( 56568 × 56588) / 4
LCM(56568,56588) = 3201069984 / 4
LCM(56568,56588) = 800267496

Least Common Multiple (LCM) of 56568 and 56588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56568 and 56588. First we will calculate the prime factors of 56568 and 56588.

Prime Factorization of 56568

Prime factors of 56568 are 2, 3, 2357. Prime factorization of 56568 in exponential form is:

56568 = 23 × 31 × 23571

Prime Factorization of 56588

Prime factors of 56588 are 2, 7, 43, 47. Prime factorization of 56588 in exponential form is:

56588 = 22 × 71 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 56568 and 56588.

LCM(56568,56588) = 23 × 31 × 23571 × 71 × 431 × 471
LCM(56568,56588) = 800267496