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What is the Least Common Multiple of 11033 and 11051?

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 11033 and 11051 is 121925683.

LCM(11033,11051) = 121925683

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Least Common Multiple of 11033 and 11051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11033 and 11051, than apply into the LCM equation.

GCF(11033,11051) = 1
LCM(11033,11051) = ( 11033 × 11051) / 1
LCM(11033,11051) = 121925683 / 1
LCM(11033,11051) = 121925683

Least Common Multiple (LCM) of 11033 and 11051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11033 and 11051. First we will calculate the prime factors of 11033 and 11051.

Prime Factorization of 11033

Prime factors of 11033 are 11, 17, 59. Prime factorization of 11033 in exponential form is:

11033 = 111 × 171 × 591

Prime Factorization of 11051

Prime factors of 11051 are 43, 257. Prime factorization of 11051 in exponential form is:

11051 = 431 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 11033 and 11051.

LCM(11033,11051) = 111 × 171 × 591 × 431 × 2571
LCM(11033,11051) = 121925683