Least Common Multiple of 31314 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 31314 and 31322 the smallest integer that is 490408554 that is divisible by both numbers.

Least Common Multiple (LCM) of 31314 and 31322 is 490408554.

LCM(31314,31322) = 490408554

LCM of 31314 and 31322

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

LCM of:
and

Least Common Multiple of 31314 and 31322

LCM of 31314 and 31322 is 490408554

Least common multiple can be found by multiplying the highest exponent prime factors of 31314 and 31322. First we will calculate the prime factors of 31314 and 31322.

Prime Factorization of 31314


2 31314
3 15657
17 5219
307 307
1

Prime factors of 31314 are 2, 3, 17,307. Prime factorization of 31314 in exponential form is:

31314 = 21×31×171×3071

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 31314 and 31322.

LCM(31314,31322) = 21×31×171×3071×156611
LCM(31314,31322) = 490408554

Factors of 31314

List of positive integer factors of 31314 that divides 31314 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 307, 614, 921, 1842, 5219, 10438, 15657, 31314

Factors of 31322

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

1, 2, 15661, 31322

Least Common Multiple of 31314 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 31314 and 31322, than apply into the LCM equation.

GCF(31314,31322) = 2
LCM(31314,31322) = ( 31314 × 31322) / 2
LCM(31314,31322) = 980817108 / 2
LCM(31314,31322) = 490408554

Properties of LCM 31314 and 31322

(i) The LCM of 31322 and 31314 is associative

LCM of 31314 and 31322 = LCM of 31322 and 31314

Related Least Common Multiples of 31314

Related Least Common Multiples of 31322

Frequently Asked Questions on LCM of 31314 and 31322

1. What is the LCM of 31314 and 31322?

Answer: LCM of 31314 and 31322 is 490408554.

2. What are the Factors of 31314?

Answer: Factors of 31314 are 1, 2, 3, 6, 17, 34, 51, 102, 307, 614, 921, 1842, 5219, 10438, 15657, 31314. There are 16 integers that are factors of 31314. The greatest factor of 31314 is 31314.

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 31314 and 31322?

Answer:

Least Common Multiple of 31314 and 31322 = 490408554

Step 1: Find the prime factorization of 31314

31314 = 2 x 3 x 17 x 307

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 = 490408554 = 2 x 3 x 17 x 307 x 15661

Step 4: Therefore, the least common multiple of 31314 and 31322 is 490408554.