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What is the Least Common Multiple of 56486 and 56491?

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 56486 and 56491 is 3190950626.

LCM(56486,56491) = 3190950626

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Least Common Multiple of 56486 and 56491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56486 and 56491, than apply into the LCM equation.

GCF(56486,56491) = 1
LCM(56486,56491) = ( 56486 × 56491) / 1
LCM(56486,56491) = 3190950626 / 1
LCM(56486,56491) = 3190950626

Least Common Multiple (LCM) of 56486 and 56491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56486 and 56491. First we will calculate the prime factors of 56486 and 56491.

Prime Factorization of 56486

Prime factors of 56486 are 2, 61, 463. Prime factorization of 56486 in exponential form is:

56486 = 21 × 611 × 4631

Prime Factorization of 56491

Prime factors of 56491 are 17, 3323. Prime factorization of 56491 in exponential form is:

56491 = 171 × 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 56486 and 56491.

LCM(56486,56491) = 21 × 611 × 4631 × 171 × 33231
LCM(56486,56491) = 3190950626