Least Common Multiple of 3426 and 3431
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3426 and 3431 the smallest integer that is 11754606 that is divisible by both numbers.
Least Common Multiple (LCM) of 3426 and 3431 is 11754606.
LCM(3426,3431) = 11754606
LCM of 3426 and 3431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3426 and 3431 by Prime method
- Least Common Multiple of 3426 and 3431 with GCF Formula
LCM of 3426 and 3431 is 11754606
Least common multiple can be found by multiplying the highest exponent prime factors of 3426 and 3431. First we will calculate the prime factors of 3426 and 3431.
Prime Factorization of 3426
| 2 | 3426 |
| 3 | 1713 |
| 571 | 571 |
| 1 |
Prime factors of 3426 are 2, 3,571. Prime factorization of 3426 in exponential form is:
3426 = 21×31×5711
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3426 and 3431.
LCM(3426,3431) = 21×31×471×731×5711
LCM(3426,3431) = 11754606
Factors of 3426
List of positive integer factors of 3426 that divides 3426 without a remainder.
1, 2, 3, 6, 571, 1142, 1713, 3426
Factors of 3431
List of positive integer factors of 3431 that divides 3431 without a remainder.
1, 47, 73, 3431
Least Common Multiple of 3426 and 3431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3426 and 3431, than apply into the LCM equation.
GCF(3426,3431) = 1
LCM(3426,3431) = ( 3426 × 3431) / 1
LCM(3426,3431) = 11754606 / 1
LCM(3426,3431) = 11754606
Properties of LCM 3426 and 3431
(i) The LCM of 3431 and 3426 is associative
LCM of 3426 and 3431 = LCM of 3431 and 3426
Related Least Common Multiples of 3426
Related Least Common Multiples of 3431
Frequently Asked Questions on LCM of 3426 and 3431
1. What is the LCM of 3426 and 3431?
Answer: LCM of 3426 and 3431 is 11754606.
2. What are the Factors of 3426?
Answer: Factors of 3426 are 1, 2, 3, 6, 571, 1142, 1713, 3426. There are 8 integers that are factors of 3426. The greatest factor of 3426 is 3426.
3. 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.
4. How to Find the LCM of 3426 and 3431?
Answer:
Least Common Multiple of 3426 and 3431 = 11754606
Step 1: Find the prime factorization of 3426
3426 = 2 x 3 x 571
Step 2: Find the prime factorization of 3431
3431 = 47 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11754606 = 2 x 3 x 47 x 73 x 571
Step 4: Therefore, the least common multiple of 3426 and 3431 is 11754606.