Least Common Multiple of 3430 and 3437
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3430 and 3437 the smallest integer that is 1684130 that is divisible by both numbers.
Least Common Multiple (LCM) of 3430 and 3437 is 1684130.
LCM(3430,3437) = 1684130
LCM of 3430 and 3437
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3430 and 3437 by Prime method
- Least Common Multiple of 3430 and 3437 with GCF Formula
LCM of 3430 and 3437 is 1684130
Least common multiple can be found by multiplying the highest exponent prime factors of 3430 and 3437. First we will calculate the prime factors of 3430 and 3437.
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
Prime Factorization of 3437
| 7 | 3437 |
| 491 | 491 |
| 1 |
Prime factors of 3437 are 7,491. Prime factorization of 3437 in exponential form is:
3437 = 71×4911
Now multiplying the highest exponent prime factors to calculate the LCM of 3430 and 3437.
LCM(3430,3437) = 21×51×73×4911
LCM(3430,3437) = 1684130
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
Factors of 3437
List of positive integer factors of 3437 that divides 3437 without a remainder.
1, 7, 491, 3437
Least Common Multiple of 3430 and 3437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3430 and 3437, than apply into the LCM equation.
GCF(3430,3437) = 7
LCM(3430,3437) = ( 3430 × 3437) / 7
LCM(3430,3437) = 11788910 / 7
LCM(3430,3437) = 1684130
Properties of LCM 3430 and 3437
(i) The LCM of 3437 and 3430 is associative
LCM of 3430 and 3437 = LCM of 3437 and 3430
Related Least Common Multiples of 3430
Related Least Common Multiples of 3437
Frequently Asked Questions on LCM of 3430 and 3437
1. What is the LCM of 3430 and 3437?
Answer: LCM of 3430 and 3437 is 1684130.
2. 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.
3. What are the Factors of 3437?
Answer: Factors of 3437 are 1, 7, 491, 3437. There are 4 integers that are factors of 3437. The greatest factor of 3437 is 3437.
4. How to Find the LCM of 3430 and 3437?
Answer:
Least Common Multiple of 3430 and 3437 = 1684130
Step 1: Find the prime factorization of 3430
3430 = 2 x 5 x 7 x 7 x 7
Step 2: Find the prime factorization of 3437
3437 = 7 x 491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1684130 = 2 x 5 x 7 x 7 x 7 x 491
Step 4: Therefore, the least common multiple of 3430 and 3437 is 1684130.