Least Common Multiple of 3427 and 3431
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3427 and 3431 the smallest integer that is 11758037 that is divisible by both numbers.
Least Common Multiple (LCM) of 3427 and 3431 is 11758037.
LCM(3427,3431) = 11758037
LCM of 3427 and 3431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3427 and 3431 by Prime method
- Least Common Multiple of 3427 and 3431 with GCF Formula
LCM of 3427 and 3431 is 11758037
Least common multiple can be found by multiplying the highest exponent prime factors of 3427 and 3431. First we will calculate the prime factors of 3427 and 3431.
Prime Factorization of 3427
| 23 | 3427 |
| 149 | 149 |
| 1 |
Prime factors of 3427 are 23,149. Prime factorization of 3427 in exponential form is:
3427 = 231×1491
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3427 and 3431.
LCM(3427,3431) = 231×471×731×1491
LCM(3427,3431) = 11758037
Factors of 3427
List of positive integer factors of 3427 that divides 3427 without a remainder.
1, 23, 149, 3427
Factors of 3431
List of positive integer factors of 3431 that divides 3431 without a remainder.
1, 47, 73, 3431
Least Common Multiple of 3427 and 3431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3427 and 3431, than apply into the LCM equation.
GCF(3427,3431) = 1
LCM(3427,3431) = ( 3427 × 3431) / 1
LCM(3427,3431) = 11758037 / 1
LCM(3427,3431) = 11758037
Properties of LCM 3427 and 3431
(i) The LCM of 3431 and 3427 is associative
LCM of 3427 and 3431 = LCM of 3431 and 3427
Related Least Common Multiples of 3427
Related Least Common Multiples of 3431
Frequently Asked Questions on LCM of 3427 and 3431
1. What is the LCM of 3427 and 3431?
Answer: LCM of 3427 and 3431 is 11758037.
2. What are the Factors of 3427?
Answer: Factors of 3427 are 1, 23, 149, 3427. There are 4 integers that are factors of 3427. The greatest factor of 3427 is 3427.
3. 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.
4. How to Find the LCM of 3427 and 3431?
Answer:
Least Common Multiple of 3427 and 3431 = 11758037
Step 1: Find the prime factorization of 3427
3427 = 23 x 149
Step 2: Find the prime factorization of 3431
3431 = 47 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11758037 = 23 x 47 x 73 x 149
Step 4: Therefore, the least common multiple of 3427 and 3431 is 11758037.