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What is the Least Common Multiple of 56491 and 56506?

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 56491 and 56506 is 3192080446.

LCM(56491,56506) = 3192080446

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Least Common Multiple of 56491 and 56506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56491 and 56506, than apply into the LCM equation.

GCF(56491,56506) = 1
LCM(56491,56506) = ( 56491 × 56506) / 1
LCM(56491,56506) = 3192080446 / 1
LCM(56491,56506) = 3192080446

Least Common Multiple (LCM) of 56491 and 56506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56491 and 56506. First we will calculate the prime factors of 56491 and 56506.

Prime Factorization of 56491

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

56491 = 171 × 33231

Prime Factorization of 56506

Prime factors of 56506 are 2, 19, 1487. Prime factorization of 56506 in exponential form is:

56506 = 21 × 191 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 56491 and 56506.

LCM(56491,56506) = 171 × 33231 × 21 × 191 × 14871
LCM(56491,56506) = 3192080446