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What is the Least Common Multiple of 7580 and 7593?

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 7580 and 7593 is 57554940.

LCM(7580,7593) = 57554940

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Least Common Multiple of 7580 and 7593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7580 and 7593, than apply into the LCM equation.

GCF(7580,7593) = 1
LCM(7580,7593) = ( 7580 × 7593) / 1
LCM(7580,7593) = 57554940 / 1
LCM(7580,7593) = 57554940

Least Common Multiple (LCM) of 7580 and 7593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7580 and 7593. First we will calculate the prime factors of 7580 and 7593.

Prime Factorization of 7580

Prime factors of 7580 are 2, 5, 379. Prime factorization of 7580 in exponential form is:

7580 = 22 × 51 × 3791

Prime Factorization of 7593

Prime factors of 7593 are 3, 2531. Prime factorization of 7593 in exponential form is:

7593 = 31 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 7580 and 7593.

LCM(7580,7593) = 22 × 51 × 3791 × 31 × 25311
LCM(7580,7593) = 57554940