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What is the Least Common Multiple of 56491 and 56502?

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 56502 is 3191854482.

LCM(56491,56502) = 3191854482

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Least Common Multiple of 56491 and 56502 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 56502, than apply into the LCM equation.

GCF(56491,56502) = 1
LCM(56491,56502) = ( 56491 × 56502) / 1
LCM(56491,56502) = 3191854482 / 1
LCM(56491,56502) = 3191854482

Least Common Multiple (LCM) of 56491 and 56502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56491 and 56502. First we will calculate the prime factors of 56491 and 56502.

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 56502

Prime factors of 56502 are 2, 3, 43, 73. Prime factorization of 56502 in exponential form is:

56502 = 21 × 32 × 431 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 56491 and 56502.

LCM(56491,56502) = 171 × 33231 × 21 × 32 × 431 × 731
LCM(56491,56502) = 3191854482