Least Common Multiple of 3431 and 3439
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3431 and 3439 the smallest integer that is 11799209 that is divisible by both numbers.
Least Common Multiple (LCM) of 3431 and 3439 is 11799209.
LCM(3431,3439) = 11799209
LCM of 3431 and 3439
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3431 and 3439 by Prime method
- Least Common Multiple of 3431 and 3439 with GCF Formula
LCM of 3431 and 3439 is 11799209
Least common multiple can be found by multiplying the highest exponent prime factors of 3431 and 3439. First we will calculate the prime factors of 3431 and 3439.
Prime Factorization of 3431
| 47 | 3431 |
| 73 | 73 |
| 1 |
Prime factors of 3431 are 47,73. Prime factorization of 3431 in exponential form is:
3431 = 471×731
Prime Factorization of 3439
| 19 | 3439 |
| 181 | 181 |
| 1 |
Prime factors of 3439 are 19,181. Prime factorization of 3439 in exponential form is:
3439 = 191×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 3431 and 3439.
LCM(3431,3439) = 191×471×731×1811
LCM(3431,3439) = 11799209
Factors of 3431
List of positive integer factors of 3431 that divides 3431 without a remainder.
1, 47, 73, 3431
Factors of 3439
List of positive integer factors of 3439 that divides 3439 without a remainder.
1, 19, 181, 3439
Least Common Multiple of 3431 and 3439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3431 and 3439, than apply into the LCM equation.
GCF(3431,3439) = 1
LCM(3431,3439) = ( 3431 × 3439) / 1
LCM(3431,3439) = 11799209 / 1
LCM(3431,3439) = 11799209
Properties of LCM 3431 and 3439
(i) The LCM of 3439 and 3431 is associative
LCM of 3431 and 3439 = LCM of 3439 and 3431
Related Least Common Multiples of 3431
Related Least Common Multiples of 3439
Frequently Asked Questions on LCM of 3431 and 3439
1. What is the LCM of 3431 and 3439?
Answer: LCM of 3431 and 3439 is 11799209.
2. What are the Factors of 3431?
Answer: Factors of 3431 are 1, 47, 73, 3431. There are 4 integers that are factors of 3431. The greatest factor of 3431 is 3431.
3. What are the Factors of 3439?
Answer: Factors of 3439 are 1, 19, 181, 3439. There are 4 integers that are factors of 3439. The greatest factor of 3439 is 3439.
4. How to Find the LCM of 3431 and 3439?
Answer:
Least Common Multiple of 3431 and 3439 = 11799209
Step 1: Find the prime factorization of 3431
3431 = 47 x 73
Step 2: Find the prime factorization of 3439
3439 = 19 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11799209 = 19 x 47 x 73 x 181
Step 4: Therefore, the least common multiple of 3431 and 3439 is 11799209.