Least Common Multiple of 1403 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 1403 and 1411 the smallest integer that is 1979633 that is divisible by both numbers.
Least Common Multiple (LCM) of 1403 and 1411 is 1979633.
LCM(1403,1411) = 1979633
LCM of 1403 and 1411
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1403 and 1411 by Prime method
- Least Common Multiple of 1403 and 1411 with GCF Formula
LCM of 1403 and 1411 is 1979633
Least common multiple can be found by multiplying the highest exponent prime factors of 1403 and 1411. First we will calculate the prime factors of 1403 and 1411.
Prime Factorization of 1403
| 23 | 1403 |
| 61 | 61 |
| 1 |
Prime factors of 1403 are 23,61. Prime factorization of 1403 in exponential form is:
1403 = 231×611
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 1403 and 1411.
LCM(1403,1411) = 171×231×611×831
LCM(1403,1411) = 1979633
Factors of 1403
List of positive integer factors of 1403 that divides 1403 without a remainder.
1, 23, 61, 1403
Factors of 1411
List of positive integer factors of 1411 that divides 1411 without a remainder.
1, 17, 83, 1411
Least Common Multiple of 1403 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 1403 and 1411, than apply into the LCM equation.
GCF(1403,1411) = 1
LCM(1403,1411) = ( 1403 × 1411) / 1
LCM(1403,1411) = 1979633 / 1
LCM(1403,1411) = 1979633
Properties of LCM 1403 and 1411
(i) The LCM of 1411 and 1403 is associative
LCM of 1403 and 1411 = LCM of 1411 and 1403
Related Least Common Multiples of 1403
Related Least Common Multiples of 1411
Frequently Asked Questions on LCM of 1403 and 1411
1. What is the LCM of 1403 and 1411?
Answer: LCM of 1403 and 1411 is 1979633.
2. What are the Factors of 1403?
Answer: Factors of 1403 are 1, 23, 61, 1403. There are 4 integers that are factors of 1403. The greatest factor of 1403 is 1403.
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 1403 and 1411?
Answer:
Least Common Multiple of 1403 and 1411 = 1979633
Step 1: Find the prime factorization of 1403
1403 = 23 x 61
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 = 1979633 = 17 x 23 x 61 x 83
Step 4: Therefore, the least common multiple of 1403 and 1411 is 1979633.