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What is the Least Common Multiple of 11033 and 11041?

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 11041 is 121815353.

LCM(11033,11041) = 121815353

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Least Common Multiple of 11033 and 11041 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 11041, than apply into the LCM equation.

GCF(11033,11041) = 1
LCM(11033,11041) = ( 11033 × 11041) / 1
LCM(11033,11041) = 121815353 / 1
LCM(11033,11041) = 121815353

Least Common Multiple (LCM) of 11033 and 11041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11033 and 11041. First we will calculate the prime factors of 11033 and 11041.

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 11041

Prime factors of 11041 are 61, 181. Prime factorization of 11041 in exponential form is:

11041 = 611 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 11033 and 11041.

LCM(11033,11041) = 111 × 171 × 591 × 611 × 1811
LCM(11033,11041) = 121815353