Least Common Multiple of 3423 and 3430
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3423 and 3430 the smallest integer that is 1677270 that is divisible by both numbers.
Least Common Multiple (LCM) of 3423 and 3430 is 1677270.
LCM(3423,3430) = 1677270
LCM of 3423 and 3430
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3423 and 3430 by Prime method
- Least Common Multiple of 3423 and 3430 with GCF Formula
LCM of 3423 and 3430 is 1677270
Least common multiple can be found by multiplying the highest exponent prime factors of 3423 and 3430. First we will calculate the prime factors of 3423 and 3430.
Prime Factorization of 3423
| 3 | 3423 |
| 7 | 1141 |
| 163 | 163 |
| 1 |
Prime factors of 3423 are 3, 7,163. Prime factorization of 3423 in exponential form is:
3423 = 31×71×1631
Prime Factorization of 3430
| 2 | 3430 |
| 5 | 1715 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 3430 are 2, 5,7. Prime factorization of 3430 in exponential form is:
3430 = 21×51×73
Now multiplying the highest exponent prime factors to calculate the LCM of 3423 and 3430.
LCM(3423,3430) = 21×31×51×73×1631
LCM(3423,3430) = 1677270
Factors of 3423
List of positive integer factors of 3423 that divides 3423 without a remainder.
1, 3, 7, 21, 163, 489, 1141, 3423
Factors of 3430
List of positive integer factors of 3430 that divides 3430 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430
Least Common Multiple of 3423 and 3430 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3423 and 3430, than apply into the LCM equation.
GCF(3423,3430) = 7
LCM(3423,3430) = ( 3423 × 3430) / 7
LCM(3423,3430) = 11740890 / 7
LCM(3423,3430) = 1677270
Properties of LCM 3423 and 3430
(i) The LCM of 3430 and 3423 is associative
LCM of 3423 and 3430 = LCM of 3430 and 3423
Related Least Common Multiples of 3423
Related Least Common Multiples of 3430
Frequently Asked Questions on LCM of 3423 and 3430
1. What is the LCM of 3423 and 3430?
Answer: LCM of 3423 and 3430 is 1677270.
2. What are the Factors of 3423?
Answer: Factors of 3423 are 1, 3, 7, 21, 163, 489, 1141, 3423. There are 8 integers that are factors of 3423. The greatest factor of 3423 is 3423.
3. What are the Factors of 3430?
Answer: Factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430. There are 16 integers that are factors of 3430. The greatest factor of 3430 is 3430.
4. How to Find the LCM of 3423 and 3430?
Answer:
Least Common Multiple of 3423 and 3430 = 1677270
Step 1: Find the prime factorization of 3423
3423 = 3 x 7 x 163
Step 2: Find the prime factorization of 3430
3430 = 2 x 5 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1677270 = 2 x 3 x 5 x 7 x 7 x 7 x 163
Step 4: Therefore, the least common multiple of 3423 and 3430 is 1677270.