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What is the Least Common Multiple of 56578 and 56582?

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 56578 and 56582 is 1600648198.

LCM(56578,56582) = 1600648198

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Least Common Multiple of 56578 and 56582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56578 and 56582, than apply into the LCM equation.

GCF(56578,56582) = 2
LCM(56578,56582) = ( 56578 × 56582) / 2
LCM(56578,56582) = 3201296396 / 2
LCM(56578,56582) = 1600648198

Least Common Multiple (LCM) of 56578 and 56582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56578 and 56582. First we will calculate the prime factors of 56578 and 56582.

Prime Factorization of 56578

Prime factors of 56578 are 2, 28289. Prime factorization of 56578 in exponential form is:

56578 = 21 × 282891

Prime Factorization of 56582

Prime factors of 56582 are 2, 19, 1489. Prime factorization of 56582 in exponential form is:

56582 = 21 × 191 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 56578 and 56582.

LCM(56578,56582) = 21 × 282891 × 191 × 14891
LCM(56578,56582) = 1600648198