Least Common Multiple of 3431 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 3431 and 3437 the smallest integer that is 11792347 that is divisible by both numbers.
Least Common Multiple (LCM) of 3431 and 3437 is 11792347.
LCM(3431,3437) = 11792347
LCM of 3431 and 3437
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3431 and 3437 by Prime method
- Least Common Multiple of 3431 and 3437 with GCF Formula
LCM of 3431 and 3437 is 11792347
Least common multiple can be found by multiplying the highest exponent prime factors of 3431 and 3437. First we will calculate the prime factors of 3431 and 3437.
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
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 3431 and 3437.
LCM(3431,3437) = 71×471×731×4911
LCM(3431,3437) = 11792347
Factors of 3431
List of positive integer factors of 3431 that divides 3431 without a remainder.
1, 47, 73, 3431
Factors of 3437
List of positive integer factors of 3437 that divides 3437 without a remainder.
1, 7, 491, 3437
Least Common Multiple of 3431 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 3431 and 3437, than apply into the LCM equation.
GCF(3431,3437) = 1
LCM(3431,3437) = ( 3431 × 3437) / 1
LCM(3431,3437) = 11792347 / 1
LCM(3431,3437) = 11792347
Properties of LCM 3431 and 3437
(i) The LCM of 3437 and 3431 is associative
LCM of 3431 and 3437 = LCM of 3437 and 3431
Related Least Common Multiples of 3431
Related Least Common Multiples of 3437
Frequently Asked Questions on LCM of 3431 and 3437
1. What is the LCM of 3431 and 3437?
Answer: LCM of 3431 and 3437 is 11792347.
2. 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.
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 3431 and 3437?
Answer:
Least Common Multiple of 3431 and 3437 = 11792347
Step 1: Find the prime factorization of 3431
3431 = 47 x 73
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 = 11792347 = 7 x 47 x 73 x 491
Step 4: Therefore, the least common multiple of 3431 and 3437 is 11792347.