Least Common Multiple of 3419 and 3426
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3419 and 3426 the smallest integer that is 11713494 that is divisible by both numbers.
Least Common Multiple (LCM) of 3419 and 3426 is 11713494.
LCM(3419,3426) = 11713494
LCM of 3419 and 3426
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3419 and 3426 by Prime method
- Least Common Multiple of 3419 and 3426 with GCF Formula
LCM of 3419 and 3426 is 11713494
Least common multiple can be found by multiplying the highest exponent prime factors of 3419 and 3426. First we will calculate the prime factors of 3419 and 3426.
Prime Factorization of 3419
| 13 | 3419 |
| 263 | 263 |
| 1 |
Prime factors of 3419 are 13,263. Prime factorization of 3419 in exponential form is:
3419 = 131×2631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3419 and 3426.
LCM(3419,3426) = 21×31×131×2631×5711
LCM(3419,3426) = 11713494
Factors of 3419
List of positive integer factors of 3419 that divides 3419 without a remainder.
1, 13, 263, 3419
Factors of 3426
List of positive integer factors of 3426 that divides 3426 without a remainder.
1, 2, 3, 6, 571, 1142, 1713, 3426
Least Common Multiple of 3419 and 3426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3419 and 3426, than apply into the LCM equation.
GCF(3419,3426) = 1
LCM(3419,3426) = ( 3419 × 3426) / 1
LCM(3419,3426) = 11713494 / 1
LCM(3419,3426) = 11713494
Properties of LCM 3419 and 3426
(i) The LCM of 3426 and 3419 is associative
LCM of 3419 and 3426 = LCM of 3426 and 3419
Related Least Common Multiples of 3419
Related Least Common Multiples of 3426
Frequently Asked Questions on LCM of 3419 and 3426
1. What is the LCM of 3419 and 3426?
Answer: LCM of 3419 and 3426 is 11713494.
2. What are the Factors of 3419?
Answer: Factors of 3419 are 1, 13, 263, 3419. There are 4 integers that are factors of 3419. The greatest factor of 3419 is 3419.
3. 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.
4. How to Find the LCM of 3419 and 3426?
Answer:
Least Common Multiple of 3419 and 3426 = 11713494
Step 1: Find the prime factorization of 3419
3419 = 13 x 263
Step 2: Find the prime factorization of 3426
3426 = 2 x 3 x 571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11713494 = 2 x 3 x 13 x 263 x 571
Step 4: Therefore, the least common multiple of 3419 and 3426 is 11713494.