Least Common Multiple of 31318 and 31322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31318 and 31322 the smallest integer that is 490471198 that is divisible by both numbers.

Least Common Multiple (LCM) of 31318 and 31322 is 490471198.

LCM(31318,31322) = 490471198

LCM of 31318 and 31322

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

LCM of:
and

Least Common Multiple of 31318 and 31322

LCM of 31318 and 31322 is 490471198

Least common multiple can be found by multiplying the highest exponent prime factors of 31318 and 31322. First we will calculate the prime factors of 31318 and 31322.

Prime Factorization of 31318


2 31318
7 15659
2237 2237
1

Prime factors of 31318 are 2, 7,2237. Prime factorization of 31318 in exponential form is:

31318 = 21×71×22371

Prime Factorization of 31322


2 31322
15661 15661
1

Prime factors of 31322 are 2,15661. Prime factorization of 31322 in exponential form is:

31322 = 21×156611

Now multiplying the highest exponent prime factors to calculate the LCM of 31318 and 31322.

LCM(31318,31322) = 21×71×22371×156611
LCM(31318,31322) = 490471198

Factors of 31318

List of positive integer factors of 31318 that divides 31318 without a remainder.

1, 2, 7, 14, 2237, 4474, 15659, 31318

Factors of 31322

List of positive integer factors of 31322 that divides 31322 without a remainder.

1, 2, 15661, 31322

Least Common Multiple of 31318 and 31322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31318 and 31322, than apply into the LCM equation.

GCF(31318,31322) = 2
LCM(31318,31322) = ( 31318 × 31322) / 2
LCM(31318,31322) = 980942396 / 2
LCM(31318,31322) = 490471198

Properties of LCM 31318 and 31322

(i) The LCM of 31322 and 31318 is associative

LCM of 31318 and 31322 = LCM of 31322 and 31318

Related Least Common Multiples of 31318

Related Least Common Multiples of 31322

Frequently Asked Questions on LCM of 31318 and 31322

1. What is the LCM of 31318 and 31322?

Answer: LCM of 31318 and 31322 is 490471198.

2. What are the Factors of 31318?

Answer: Factors of 31318 are 1, 2, 7, 14, 2237, 4474, 15659, 31318. There are 8 integers that are factors of 31318. The greatest factor of 31318 is 31318.

3. What are the Factors of 31322?

Answer: Factors of 31322 are 1, 2, 15661, 31322. There are 4 integers that are factors of 31322. The greatest factor of 31322 is 31322.

4. How to Find the LCM of 31318 and 31322?

Answer:

Least Common Multiple of 31318 and 31322 = 490471198

Step 1: Find the prime factorization of 31318

31318 = 2 x 7 x 2237

Step 2: Find the prime factorization of 31322

31322 = 2 x 15661

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

LCM = 490471198 = 2 x 7 x 2237 x 15661

Step 4: Therefore, the least common multiple of 31318 and 31322 is 490471198.