Least Common Multiple of 11058 and 11063

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

• Least Common Multiple of 11058 and 11063 by Prime method
• Least Common Multiple of 11058 and 11063 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 11058 and 11063. First we will calculate the prime factors of 11058 and 11063.

Prime Factorization of 11058

Prime factors of 11058 are 2, 3, 19,97. Prime factorization of 11058 in exponential form is:

11058 = 2¹×3¹×19¹×97¹

Prime Factorization of 11063

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

11063 = 13¹×23¹×37¹

Now multiplying the highest exponent prime factors to calculate the LCM of 11058 and 11063.

LCM(11058,11063) = 2¹×3¹×13¹×19¹×23¹×37¹×97¹
LCM(11058,11063) = 122334654

Factors of 11058

List of positive integer factors of 11058 that divides 11058 without a remainder.

1, 2, 3, 6, 19, 38, 57, 97, 114, 194, 291, 582, 1843, 3686, 5529, 11058

Factors of 11063

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11058 and 11063, than apply into the LCM equation.

GCF(11058,11063) = 1
LCM(11058,11063) = ( 11058 × 11063) / 1
LCM(11058,11063) = 122334654 / 1
LCM(11058,11063) = 122334654

(i) The LCM of 11063 and 11058 is associative

LCM of 11058 and 11063 = LCM of 11063 and 11058

1. What is the LCM of 11058 and 11063?

Answer: LCM of 11058 and 11063 is 122334654.

2. What are the Factors of 11058?

Answer: Factors of 11058 are 1, 2, 3, 6, 19, 38, 57, 97, 114, 194, 291, 582, 1843, 3686, 5529, 11058. There are 16 integers that are factors of 11058. The greatest factor of 11058 is 11058.

3. 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.

4. How to Find the LCM of 11058 and 11063?

Answer:

Least Common Multiple of 11058 and 11063 = 122334654

Step 1: Find the prime factorization of 11058

11058 = 2 x 3 x 19 x 97

Step 2: Find the prime factorization of 11063

11063 = 13 x 23 x 37

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

LCM = 122334654 = 2 x 3 x 13 x 19 x 23 x 37 x 97

Step 4: Therefore, the least common multiple of 11058 and 11063 is 122334654.