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What is the Least Common Multiple of 7569 and 7588?

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 7569 and 7588 is 57433572.

LCM(7569,7588) = 57433572

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Least Common Multiple of 7569 and 7588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7569 and 7588, than apply into the LCM equation.

GCF(7569,7588) = 1
LCM(7569,7588) = ( 7569 × 7588) / 1
LCM(7569,7588) = 57433572 / 1
LCM(7569,7588) = 57433572

Least Common Multiple (LCM) of 7569 and 7588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7569 and 7588. First we will calculate the prime factors of 7569 and 7588.

Prime Factorization of 7569

Prime factors of 7569 are 3, 29. Prime factorization of 7569 in exponential form is:

7569 = 32 × 292

Prime Factorization of 7588

Prime factors of 7588 are 2, 7, 271. Prime factorization of 7588 in exponential form is:

7588 = 22 × 71 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7569 and 7588.

LCM(7569,7588) = 32 × 292 × 22 × 71 × 2711
LCM(7569,7588) = 57433572