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What is the Least Common Multiple of 57745 and 57751?

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 57745 and 57751 is 3334831495.

LCM(57745,57751) = 3334831495

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Least Common Multiple of 57745 and 57751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57745 and 57751, than apply into the LCM equation.

GCF(57745,57751) = 1
LCM(57745,57751) = ( 57745 × 57751) / 1
LCM(57745,57751) = 3334831495 / 1
LCM(57745,57751) = 3334831495

Least Common Multiple (LCM) of 57745 and 57751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57745 and 57751. First we will calculate the prime factors of 57745 and 57751.

Prime Factorization of 57745

Prime factors of 57745 are 5, 11549. Prime factorization of 57745 in exponential form is:

57745 = 51 × 115491

Prime Factorization of 57751

Prime factors of 57751 are 57751. Prime factorization of 57751 in exponential form is:

57751 = 577511

Now multiplying the highest exponent prime factors to calculate the LCM of 57745 and 57751.

LCM(57745,57751) = 51 × 115491 × 577511
LCM(57745,57751) = 3334831495