Least Common Multiple of 11071 and 11076

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

• Least Common Multiple of 11071 and 11076 by Prime method
• Least Common Multiple of 11071 and 11076 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 11071 and 11076. First we will calculate the prime factors of 11071 and 11076.

Prime Factorization of 11071

Prime factors of 11071 are 11071. Prime factorization of 11071 in exponential form is:

11071 = 11071¹

Prime Factorization of 11076

Prime factors of 11076 are 2, 3, 13,71. Prime factorization of 11076 in exponential form is:

11076 = 2²×3¹×13¹×71¹

Now multiplying the highest exponent prime factors to calculate the LCM of 11071 and 11076.

LCM(11071,11076) = 2²×3¹×13¹×71¹×11071¹
LCM(11071,11076) = 122622396

Factors of 11071

List of positive integer factors of 11071 that divides 11071 without a remainder.

1, 11071

Factors of 11076

List of positive integer factors of 11076 that divides 11076 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538, 11076

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11071 and 11076, than apply into the LCM equation.

GCF(11071,11076) = 1
LCM(11071,11076) = ( 11071 × 11076) / 1
LCM(11071,11076) = 122622396 / 1
LCM(11071,11076) = 122622396

(i) The LCM of 11076 and 11071 is associative

LCM of 11071 and 11076 = LCM of 11076 and 11071

1. What is the LCM of 11071 and 11076?

Answer: LCM of 11071 and 11076 is 122622396.

2. What are the Factors of 11071?

Answer: Factors of 11071 are 1, 11071. There are 2 integers that are factors of 11071. The greatest factor of 11071 is 11071.

3. What are the Factors of 11076?

Answer: Factors of 11076 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538, 11076. There are 24 integers that are factors of 11076. The greatest factor of 11076 is 11076.

4. How to Find the LCM of 11071 and 11076?

Answer:

Least Common Multiple of 11071 and 11076 = 122622396

Step 1: Find the prime factorization of 11071

11071 = 11071

Step 2: Find the prime factorization of 11076

11076 = 2 x 2 x 3 x 13 x 71

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

LCM = 122622396 = 2 x 2 x 3 x 13 x 71 x 11071

Step 4: Therefore, the least common multiple of 11071 and 11076 is 122622396.