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What is the Least Common Multiple of 11033 and 11052?

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 11052 is 121936716.

LCM(11033,11052) = 121936716

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Least Common Multiple of 11033 and 11052 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 11052, than apply into the LCM equation.

GCF(11033,11052) = 1
LCM(11033,11052) = ( 11033 × 11052) / 1
LCM(11033,11052) = 121936716 / 1
LCM(11033,11052) = 121936716

Least Common Multiple (LCM) of 11033 and 11052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11033 and 11052. First we will calculate the prime factors of 11033 and 11052.

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 11052

Prime factors of 11052 are 2, 3, 307. Prime factorization of 11052 in exponential form is:

11052 = 22 × 32 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 11033 and 11052.

LCM(11033,11052) = 111 × 171 × 591 × 22 × 32 × 3071
LCM(11033,11052) = 121936716