Least Common Multiple of 11063 and 11067

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 11063 and 11067 by Prime method
• Least Common Multiple of 11063 and 11067 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 11063 and 11067. First we will calculate the prime factors of 11063 and 11067.

Prime Factorization of 11063

Prime factors of 11063 are 13, 23,37. Prime factorization of 11063 in exponential form is:

11063 = 13¹×23¹×37¹

Prime Factorization of 11067

Prime factors of 11067 are 3, 7, 17,31. Prime factorization of 11067 in exponential form is:

11067 = 3¹×7¹×17¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 11063 and 11067.

LCM(11063,11067) = 3¹×7¹×13¹×17¹×23¹×31¹×37¹
LCM(11063,11067) = 122434221

Factors of 11063

List of positive integer factors of 11063 that divides 11063 without a remainder.

1, 13, 23, 37, 299, 481, 851, 11063

Factors of 11067

List of positive integer factors of 11067 that divides 11067 without a remainder.

1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11063 and 11067, than apply into the LCM equation.

GCF(11063,11067) = 1
LCM(11063,11067) = ( 11063 × 11067) / 1
LCM(11063,11067) = 122434221 / 1
LCM(11063,11067) = 122434221

(i) The LCM of 11067 and 11063 is associative

LCM of 11063 and 11067 = LCM of 11067 and 11063

1. What is the LCM of 11063 and 11067?

Answer: LCM of 11063 and 11067 is 122434221.

2. What are the Factors of 11063?

Answer: Factors of 11063 are 1, 13, 23, 37, 299, 481, 851, 11063. There are 8 integers that are factors of 11063. The greatest factor of 11063 is 11063.

3. What are the Factors of 11067?

Answer: Factors of 11067 are 1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067. There are 16 integers that are factors of 11067. The greatest factor of 11067 is 11067.

4. How to Find the LCM of 11063 and 11067?

Answer:

Least Common Multiple of 11063 and 11067 = 122434221

Step 1: Find the prime factorization of 11063

11063 = 13 x 23 x 37

Step 2: Find the prime factorization of 11067

11067 = 3 x 7 x 17 x 31

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 122434221 = 3 x 7 x 13 x 17 x 23 x 31 x 37

Step 4: Therefore, the least common multiple of 11063 and 11067 is 122434221.