Least Common Multiple of 331 and 338
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 331 and 338 the smallest integer that is 111878 that is divisible by both numbers.
Least Common Multiple (LCM) of 331 and 338 is 111878.
LCM(331,338) = 111878
LCM of 331 and 338
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 331 and 338 by Prime method
- Least Common Multiple of 331 and 338 with GCF Formula
LCM of 331 and 338 is 111878
Least common multiple can be found by multiplying the highest exponent prime factors of 331 and 338. First we will calculate the prime factors of 331 and 338.
Prime Factorization of 331
| 331 | 331 |
| 1 |
Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:
331 = 3311
Prime Factorization of 338
| 2 | 338 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 338 are 2,13. Prime factorization of 338 in exponential form is:
338 = 21×132
Now multiplying the highest exponent prime factors to calculate the LCM of 331 and 338.
LCM(331,338) = 21×132×3311
LCM(331,338) = 111878
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1, 331
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Least Common Multiple of 331 and 338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 331 and 338, than apply into the LCM equation.
GCF(331,338) = 1
LCM(331,338) = ( 331 × 338) / 1
LCM(331,338) = 111878 / 1
LCM(331,338) = 111878
Properties of LCM 331 and 338
(i) The LCM of 338 and 331 is associative
LCM of 331 and 338 = LCM of 338 and 331
Related Least Common Multiples of 331
Related Least Common Multiples of 338
Frequently Asked Questions on LCM of 331 and 338
1. What is the LCM of 331 and 338?
Answer: LCM of 331 and 338 is 111878.
2. What are the Factors of 331?
Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.
3. What are the Factors of 338?
Answer: Factors of 338 are 1, 2, 13, 26, 169, 338. There are 6 integers that are factors of 338. The greatest factor of 338 is 338.
4. How to Find the LCM of 331 and 338?
Answer:
Least Common Multiple of 331 and 338 = 111878
Step 1: Find the prime factorization of 331
331 = 331
Step 2: Find the prime factorization of 338
338 = 2 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 111878 = 2 x 13 x 13 x 331
Step 4: Therefore, the least common multiple of 331 and 338 is 111878.
