Least Common Multiple of 11310 and 11317

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

• Least Common Multiple of 11310 and 11317 by Prime method
• Least Common Multiple of 11310 and 11317 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 11310 and 11317. First we will calculate the prime factors of 11310 and 11317.

Prime Factorization of 11310

Prime factors of 11310 are 2, 3, 5, 13,29. Prime factorization of 11310 in exponential form is:

11310 = 2¹×3¹×5¹×13¹×29¹

Prime Factorization of 11317

Prime factors of 11317 are 11317. Prime factorization of 11317 in exponential form is:

11317 = 11317¹

Now multiplying the highest exponent prime factors to calculate the LCM of 11310 and 11317.

LCM(11310,11317) = 2¹×3¹×5¹×13¹×29¹×11317¹
LCM(11310,11317) = 127995270

Factors of 11310

List of positive integer factors of 11310 that divides 11310 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655, 11310

Factors of 11317

List of positive integer factors of 11317 that divides 11317 without a remainder.

1, 11317

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11310 and 11317, than apply into the LCM equation.

GCF(11310,11317) = 1
LCM(11310,11317) = ( 11310 × 11317) / 1
LCM(11310,11317) = 127995270 / 1
LCM(11310,11317) = 127995270

(i) The LCM of 11317 and 11310 is associative

LCM of 11310 and 11317 = LCM of 11317 and 11310

1. What is the LCM of 11310 and 11317?

Answer: LCM of 11310 and 11317 is 127995270.

2. What are the Factors of 11310?

Answer: Factors of 11310 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655, 11310. There are 32 integers that are factors of 11310. The greatest factor of 11310 is 11310.

3. What are the Factors of 11317?

Answer: Factors of 11317 are 1, 11317. There are 2 integers that are factors of 11317. The greatest factor of 11317 is 11317.

4. How to Find the LCM of 11310 and 11317?

Answer:

Least Common Multiple of 11310 and 11317 = 127995270

Step 1: Find the prime factorization of 11310

11310 = 2 x 3 x 5 x 13 x 29

Step 2: Find the prime factorization of 11317

11317 = 11317

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

LCM = 127995270 = 2 x 3 x 5 x 13 x 29 x 11317

Step 4: Therefore, the least common multiple of 11310 and 11317 is 127995270.