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What is the Least Common Multiple of 11048 and 11066?

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 11048 and 11066 is 61128584.

LCM(11048,11066) = 61128584

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Least Common Multiple of 11048 and 11066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11048 and 11066, than apply into the LCM equation.

GCF(11048,11066) = 2
LCM(11048,11066) = ( 11048 × 11066) / 2
LCM(11048,11066) = 122257168 / 2
LCM(11048,11066) = 61128584

Least Common Multiple (LCM) of 11048 and 11066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11048 and 11066. First we will calculate the prime factors of 11048 and 11066.

Prime Factorization of 11048

Prime factors of 11048 are 2, 1381. Prime factorization of 11048 in exponential form is:

11048 = 23 × 13811

Prime Factorization of 11066

Prime factors of 11066 are 2, 11, 503. Prime factorization of 11066 in exponential form is:

11066 = 21 × 111 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 11048 and 11066.

LCM(11048,11066) = 23 × 13811 × 111 × 5031
LCM(11048,11066) = 61128584