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What is the Least Common Multiple of 11544 and 11552?

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 11544 and 11552 is 16669536.

LCM(11544,11552) = 16669536

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Least Common Multiple of 11544 and 11552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11544 and 11552, than apply into the LCM equation.

GCF(11544,11552) = 8
LCM(11544,11552) = ( 11544 × 11552) / 8
LCM(11544,11552) = 133356288 / 8
LCM(11544,11552) = 16669536

Least Common Multiple (LCM) of 11544 and 11552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11544 and 11552. First we will calculate the prime factors of 11544 and 11552.

Prime Factorization of 11544

Prime factors of 11544 are 2, 3, 13, 37. Prime factorization of 11544 in exponential form is:

11544 = 23 × 31 × 131 × 371

Prime Factorization of 11552

Prime factors of 11552 are 2, 19. Prime factorization of 11552 in exponential form is:

11552 = 25 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 11544 and 11552.

LCM(11544,11552) = 25 × 31 × 131 × 371 × 192
LCM(11544,11552) = 16669536