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What is the Least Common Multiple of 11550 and 11568?

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 11550 and 11568 is 22268400.

LCM(11550,11568) = 22268400

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Least Common Multiple of 11550 and 11568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11550 and 11568, than apply into the LCM equation.

GCF(11550,11568) = 6
LCM(11550,11568) = ( 11550 × 11568) / 6
LCM(11550,11568) = 133610400 / 6
LCM(11550,11568) = 22268400

Least Common Multiple (LCM) of 11550 and 11568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11550 and 11568. First we will calculate the prime factors of 11550 and 11568.

Prime Factorization of 11550

Prime factors of 11550 are 2, 3, 5, 7, 11. Prime factorization of 11550 in exponential form is:

11550 = 21 × 31 × 52 × 71 × 111

Prime Factorization of 11568

Prime factors of 11568 are 2, 3, 241. Prime factorization of 11568 in exponential form is:

11568 = 24 × 31 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 11550 and 11568.

LCM(11550,11568) = 24 × 31 × 52 × 71 × 111 × 2411
LCM(11550,11568) = 22268400