Least Common Multiple of 31314 and 31318

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 31318 the smallest integer that is 490345926 that is divisible by both numbers.

Least Common Multiple (LCM) of 31314 and 31318 is 490345926.

LCM(31314,31318) = 490345926

LCM of 31314 and 31318

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

LCM of:
and

Least Common Multiple of 31314 and 31318

LCM of 31314 and 31318 is 490345926

Least common multiple can be found by multiplying the highest exponent prime factors of 31314 and 31318. First we will calculate the prime factors of 31314 and 31318.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 31314 and 31318.

LCM(31314,31318) = 21×31×71×171×3071×22371
LCM(31314,31318) = 490345926

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 31318

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

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

Least Common Multiple of 31314 and 31318 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 31318, than apply into the LCM equation.

GCF(31314,31318) = 2
LCM(31314,31318) = ( 31314 × 31318) / 2
LCM(31314,31318) = 980691852 / 2
LCM(31314,31318) = 490345926

Properties of LCM 31314 and 31318

(i) The LCM of 31318 and 31314 is associative

LCM of 31314 and 31318 = LCM of 31318 and 31314

Related Least Common Multiples of 31314

Related Least Common Multiples of 31318

Frequently Asked Questions on LCM of 31314 and 31318

1. What is the LCM of 31314 and 31318?

Answer: LCM of 31314 and 31318 is 490345926.

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 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.

4. How to Find the LCM of 31314 and 31318?

Answer:

Least Common Multiple of 31314 and 31318 = 490345926

Step 1: Find the prime factorization of 31314

31314 = 2 x 3 x 17 x 307

Step 2: Find the prime factorization of 31318

31318 = 2 x 7 x 2237

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

LCM = 490345926 = 2 x 3 x 7 x 17 x 307 x 2237

Step 4: Therefore, the least common multiple of 31314 and 31318 is 490345926.