Least Common Multiple of 11335 and 11342

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

• Least Common Multiple of 11335 and 11342 by Prime method
• Least Common Multiple of 11335 and 11342 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 11335 and 11342. First we will calculate the prime factors of 11335 and 11342.

Prime Factorization of 11335

Prime factors of 11335 are 5,2267. Prime factorization of 11335 in exponential form is:

11335 = 5¹×2267¹

Prime Factorization of 11342

Prime factors of 11342 are 2, 53,107. Prime factorization of 11342 in exponential form is:

11342 = 2¹×53¹×107¹

Now multiplying the highest exponent prime factors to calculate the LCM of 11335 and 11342.

LCM(11335,11342) = 2¹×5¹×53¹×107¹×2267¹
LCM(11335,11342) = 128561570

Factors of 11335

List of positive integer factors of 11335 that divides 11335 without a remainder.

1, 5, 2267, 11335

Factors of 11342

List of positive integer factors of 11342 that divides 11342 without a remainder.

1, 2, 53, 106, 107, 214, 5671, 11342

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11335 and 11342, than apply into the LCM equation.

GCF(11335,11342) = 1
LCM(11335,11342) = ( 11335 × 11342) / 1
LCM(11335,11342) = 128561570 / 1
LCM(11335,11342) = 128561570

(i) The LCM of 11342 and 11335 is associative

LCM of 11335 and 11342 = LCM of 11342 and 11335

1. What is the LCM of 11335 and 11342?

Answer: LCM of 11335 and 11342 is 128561570.

2. What are the Factors of 11335?

Answer: Factors of 11335 are 1, 5, 2267, 11335. There are 4 integers that are factors of 11335. The greatest factor of 11335 is 11335.

3. What are the Factors of 11342?

Answer: Factors of 11342 are 1, 2, 53, 106, 107, 214, 5671, 11342. There are 8 integers that are factors of 11342. The greatest factor of 11342 is 11342.

4. How to Find the LCM of 11335 and 11342?

Answer:

Least Common Multiple of 11335 and 11342 = 128561570

Step 1: Find the prime factorization of 11335

11335 = 5 x 2267

Step 2: Find the prime factorization of 11342

11342 = 2 x 53 x 107

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

LCM = 128561570 = 2 x 5 x 53 x 107 x 2267

Step 4: Therefore, the least common multiple of 11335 and 11342 is 128561570.