Least Common Multiple of 11051 and 11058

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

• Least Common Multiple of 11051 and 11058 by Prime method
• Least Common Multiple of 11051 and 11058 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 11051 and 11058. First we will calculate the prime factors of 11051 and 11058.

Prime Factorization of 11051

Prime factors of 11051 are 43,257. Prime factorization of 11051 in exponential form is:

11051 = 43¹×257¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 11051 and 11058.

LCM(11051,11058) = 2¹×3¹×19¹×43¹×97¹×257¹
LCM(11051,11058) = 122201958

Factors of 11051

List of positive integer factors of 11051 that divides 11051 without a remainder.

1, 43, 257, 11051

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11051 and 11058, than apply into the LCM equation.

GCF(11051,11058) = 1
LCM(11051,11058) = ( 11051 × 11058) / 1
LCM(11051,11058) = 122201958 / 1
LCM(11051,11058) = 122201958

(i) The LCM of 11058 and 11051 is associative

LCM of 11051 and 11058 = LCM of 11058 and 11051

1. What is the LCM of 11051 and 11058?

Answer: LCM of 11051 and 11058 is 122201958.

2. What are the Factors of 11051?

Answer: Factors of 11051 are 1, 43, 257, 11051. There are 4 integers that are factors of 11051. The greatest factor of 11051 is 11051.

3. 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.

4. How to Find the LCM of 11051 and 11058?

Answer:

Least Common Multiple of 11051 and 11058 = 122201958

Step 1: Find the prime factorization of 11051

11051 = 43 x 257

Step 2: Find the prime factorization of 11058

11058 = 2 x 3 x 19 x 97

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

LCM = 122201958 = 2 x 3 x 19 x 43 x 97 x 257

Step 4: Therefore, the least common multiple of 11051 and 11058 is 122201958.