Least Common Multiple of 1411 and 1418
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1411 and 1418 the smallest integer that is 2000798 that is divisible by both numbers.
Least Common Multiple (LCM) of 1411 and 1418 is 2000798.
LCM(1411,1418) = 2000798
LCM of 1411 and 1418
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1411 and 1418 by Prime method
- Least Common Multiple of 1411 and 1418 with GCF Formula
LCM of 1411 and 1418 is 2000798
Least common multiple can be found by multiplying the highest exponent prime factors of 1411 and 1418. First we will calculate the prime factors of 1411 and 1418.
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
Prime Factorization of 1418
| 2 | 1418 |
| 709 | 709 |
| 1 |
Prime factors of 1418 are 2,709. Prime factorization of 1418 in exponential form is:
1418 = 21×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 1411 and 1418.
LCM(1411,1418) = 21×171×831×7091
LCM(1411,1418) = 2000798
Factors of 1411
List of positive integer factors of 1411 that divides 1411 without a remainder.
1, 17, 83, 1411
Factors of 1418
List of positive integer factors of 1418 that divides 1418 without a remainder.
1, 2, 709, 1418
Least Common Multiple of 1411 and 1418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1411 and 1418, than apply into the LCM equation.
GCF(1411,1418) = 1
LCM(1411,1418) = ( 1411 × 1418) / 1
LCM(1411,1418) = 2000798 / 1
LCM(1411,1418) = 2000798
Properties of LCM 1411 and 1418
(i) The LCM of 1418 and 1411 is associative
LCM of 1411 and 1418 = LCM of 1418 and 1411
Related Least Common Multiples of 1411
Related Least Common Multiples of 1418
Frequently Asked Questions on LCM of 1411 and 1418
1. What is the LCM of 1411 and 1418?
Answer: LCM of 1411 and 1418 is 2000798.
2. 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.
3. What are the Factors of 1418?
Answer: Factors of 1418 are 1, 2, 709, 1418. There are 4 integers that are factors of 1418. The greatest factor of 1418 is 1418.
4. How to Find the LCM of 1411 and 1418?
Answer:
Least Common Multiple of 1411 and 1418 = 2000798
Step 1: Find the prime factorization of 1411
1411 = 17 x 83
Step 2: Find the prime factorization of 1418
1418 = 2 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2000798 = 2 x 17 x 83 x 709
Step 4: Therefore, the least common multiple of 1411 and 1418 is 2000798.