Least Common Multiple of 1405 and 1411
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1405 and 1411 the smallest integer that is 1982455 that is divisible by both numbers.
Least Common Multiple (LCM) of 1405 and 1411 is 1982455.
LCM(1405,1411) = 1982455
LCM of 1405 and 1411
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1405 and 1411 by Prime method
- Least Common Multiple of 1405 and 1411 with GCF Formula
LCM of 1405 and 1411 is 1982455
Least common multiple can be found by multiplying the highest exponent prime factors of 1405 and 1411. First we will calculate the prime factors of 1405 and 1411.
Prime Factorization of 1405
| 5 | 1405 |
| 281 | 281 |
| 1 |
Prime factors of 1405 are 5,281. Prime factorization of 1405 in exponential form is:
1405 = 51×2811
Prime Factorization of 1411
| 17 | 1411 |
| 83 | 83 |
| 1 |
Prime factors of 1411 are 17,83. Prime factorization of 1411 in exponential form is:
1411 = 171×831
Now multiplying the highest exponent prime factors to calculate the LCM of 1405 and 1411.
LCM(1405,1411) = 51×171×831×2811
LCM(1405,1411) = 1982455
Factors of 1405
List of positive integer factors of 1405 that divides 1405 without a remainder.
1, 5, 281, 1405
Factors of 1411
List of positive integer factors of 1411 that divides 1411 without a remainder.
1, 17, 83, 1411
Least Common Multiple of 1405 and 1411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1405 and 1411, than apply into the LCM equation.
GCF(1405,1411) = 1
LCM(1405,1411) = ( 1405 × 1411) / 1
LCM(1405,1411) = 1982455 / 1
LCM(1405,1411) = 1982455
Properties of LCM 1405 and 1411
(i) The LCM of 1411 and 1405 is associative
LCM of 1405 and 1411 = LCM of 1411 and 1405
Related Least Common Multiples of 1405
Related Least Common Multiples of 1411
Frequently Asked Questions on LCM of 1405 and 1411
1. What is the LCM of 1405 and 1411?
Answer: LCM of 1405 and 1411 is 1982455.
2. What are the Factors of 1405?
Answer: Factors of 1405 are 1, 5, 281, 1405. There are 4 integers that are factors of 1405. The greatest factor of 1405 is 1405.
3. What are the Factors of 1411?
Answer: Factors of 1411 are 1, 17, 83, 1411. There are 4 integers that are factors of 1411. The greatest factor of 1411 is 1411.
4. How to Find the LCM of 1405 and 1411?
Answer:
Least Common Multiple of 1405 and 1411 = 1982455
Step 1: Find the prime factorization of 1405
1405 = 5 x 281
Step 2: Find the prime factorization of 1411
1411 = 17 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1982455 = 5 x 17 x 83 x 281
Step 4: Therefore, the least common multiple of 1405 and 1411 is 1982455.