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What is the Least Common Multiple of 11524 and 11528?

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 11524 and 11528 is 33212168.

LCM(11524,11528) = 33212168

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Least Common Multiple of 11524 and 11528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11524 and 11528, than apply into the LCM equation.

GCF(11524,11528) = 4
LCM(11524,11528) = ( 11524 × 11528) / 4
LCM(11524,11528) = 132848672 / 4
LCM(11524,11528) = 33212168

Least Common Multiple (LCM) of 11524 and 11528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11524 and 11528. First we will calculate the prime factors of 11524 and 11528.

Prime Factorization of 11524

Prime factors of 11524 are 2, 43, 67. Prime factorization of 11524 in exponential form is:

11524 = 22 × 431 × 671

Prime Factorization of 11528

Prime factors of 11528 are 2, 11, 131. Prime factorization of 11528 in exponential form is:

11528 = 23 × 111 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 11524 and 11528.

LCM(11524,11528) = 23 × 431 × 671 × 111 × 1311
LCM(11524,11528) = 33212168