Least Common Multiple of 3451 and 3458
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3451 and 3458 the smallest integer that is 1704794 that is divisible by both numbers.
Least Common Multiple (LCM) of 3451 and 3458 is 1704794.
LCM(3451,3458) = 1704794
LCM of 3451 and 3458
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3451 and 3458 by Prime method
- Least Common Multiple of 3451 and 3458 with GCF Formula
LCM of 3451 and 3458 is 1704794
Least common multiple can be found by multiplying the highest exponent prime factors of 3451 and 3458. First we will calculate the prime factors of 3451 and 3458.
Prime Factorization of 3451
| 7 | 3451 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 3451 are 7, 17,29. Prime factorization of 3451 in exponential form is:
3451 = 71×171×291
Prime Factorization of 3458
| 2 | 3458 |
| 7 | 1729 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 3458 are 2, 7, 13,19. Prime factorization of 3458 in exponential form is:
3458 = 21×71×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3451 and 3458.
LCM(3451,3458) = 21×71×131×171×191×291
LCM(3451,3458) = 1704794
Factors of 3451
List of positive integer factors of 3451 that divides 3451 without a remainder.
1, 7, 17, 29, 119, 203, 493, 3451
Factors of 3458
List of positive integer factors of 3458 that divides 3458 without a remainder.
1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458
Least Common Multiple of 3451 and 3458 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3451 and 3458, than apply into the LCM equation.
GCF(3451,3458) = 7
LCM(3451,3458) = ( 3451 × 3458) / 7
LCM(3451,3458) = 11933558 / 7
LCM(3451,3458) = 1704794
Properties of LCM 3451 and 3458
(i) The LCM of 3458 and 3451 is associative
LCM of 3451 and 3458 = LCM of 3458 and 3451
Related Least Common Multiples of 3451
Related Least Common Multiples of 3458
Frequently Asked Questions on LCM of 3451 and 3458
1. What is the LCM of 3451 and 3458?
Answer: LCM of 3451 and 3458 is 1704794.
2. What are the Factors of 3451?
Answer: Factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451. There are 8 integers that are factors of 3451. The greatest factor of 3451 is 3451.
3. What are the Factors of 3458?
Answer: Factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458. There are 16 integers that are factors of 3458. The greatest factor of 3458 is 3458.
4. How to Find the LCM of 3451 and 3458?
Answer:
Least Common Multiple of 3451 and 3458 = 1704794
Step 1: Find the prime factorization of 3451
3451 = 7 x 17 x 29
Step 2: Find the prime factorization of 3458
3458 = 2 x 7 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1704794 = 2 x 7 x 13 x 17 x 19 x 29
Step 4: Therefore, the least common multiple of 3451 and 3458 is 1704794.