Least Common Multiple of 10317 and 10322

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

• Least Common Multiple of 10317 and 10322 by Prime method
• Least Common Multiple of 10317 and 10322 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10317 and 10322. First we will calculate the prime factors of 10317 and 10322.

Prime Factorization of 10317

Prime factors of 10317 are 3, 19,181. Prime factorization of 10317 in exponential form is:

10317 = 3¹×19¹×181¹

Prime Factorization of 10322

Prime factors of 10322 are 2, 13,397. Prime factorization of 10322 in exponential form is:

10322 = 2¹×13¹×397¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10317 and 10322.

LCM(10317,10322) = 2¹×3¹×13¹×19¹×181¹×397¹
LCM(10317,10322) = 106492074

Factors of 10317

List of positive integer factors of 10317 that divides 10317 without a remainder.

1, 3, 19, 57, 181, 543, 3439, 10317

Factors of 10322

List of positive integer factors of 10322 that divides 10322 without a remainder.

1, 2, 13, 26, 397, 794, 5161, 10322

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10317 and 10322, than apply into the LCM equation.

GCF(10317,10322) = 1
LCM(10317,10322) = ( 10317 × 10322) / 1
LCM(10317,10322) = 106492074 / 1
LCM(10317,10322) = 106492074

(i) The LCM of 10322 and 10317 is associative

LCM of 10317 and 10322 = LCM of 10322 and 10317

1. What is the LCM of 10317 and 10322?

Answer: LCM of 10317 and 10322 is 106492074.

2. What are the Factors of 10317?

Answer: Factors of 10317 are 1, 3, 19, 57, 181, 543, 3439, 10317. There are 8 integers that are factors of 10317. The greatest factor of 10317 is 10317.

3. What are the Factors of 10322?

Answer: Factors of 10322 are 1, 2, 13, 26, 397, 794, 5161, 10322. There are 8 integers that are factors of 10322. The greatest factor of 10322 is 10322.

4. How to Find the LCM of 10317 and 10322?

Answer:

Least Common Multiple of 10317 and 10322 = 106492074

Step 1: Find the prime factorization of 10317

10317 = 3 x 19 x 181

Step 2: Find the prime factorization of 10322

10322 = 2 x 13 x 397

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

LCM = 106492074 = 2 x 3 x 13 x 19 x 181 x 397

Step 4: Therefore, the least common multiple of 10317 and 10322 is 106492074.