Least Common Multiple of 1403 and 1405
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 1405 the smallest integer that is 1971215 that is divisible by both numbers.
Least Common Multiple (LCM) of 1403 and 1405 is 1971215.
LCM(1403,1405) = 1971215
LCM of 1403 and 1405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1403 and 1405 by Prime method
- Least Common Multiple of 1403 and 1405 with GCF Formula
LCM of 1403 and 1405 is 1971215
Least common multiple can be found by multiplying the highest exponent prime factors of 1403 and 1405. First we will calculate the prime factors of 1403 and 1405.
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 1405
| 5 | 1405 |
| 281 | 281 |
| 1 |
Prime factors of 1405 are 5,281. Prime factorization of 1405 in exponential form is:
1405 = 51×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 1403 and 1405.
LCM(1403,1405) = 51×231×611×2811
LCM(1403,1405) = 1971215
Factors of 1403
List of positive integer factors of 1403 that divides 1403 without a remainder.
1, 23, 61, 1403
Factors of 1405
List of positive integer factors of 1405 that divides 1405 without a remainder.
1, 5, 281, 1405
Least Common Multiple of 1403 and 1405 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 1405, than apply into the LCM equation.
GCF(1403,1405) = 1
LCM(1403,1405) = ( 1403 × 1405) / 1
LCM(1403,1405) = 1971215 / 1
LCM(1403,1405) = 1971215
Properties of LCM 1403 and 1405
(i) The LCM of 1405 and 1403 is associative
LCM of 1403 and 1405 = LCM of 1405 and 1403
Related Least Common Multiples of 1403
Related Least Common Multiples of 1405
Frequently Asked Questions on LCM of 1403 and 1405
1. What is the LCM of 1403 and 1405?
Answer: LCM of 1403 and 1405 is 1971215.
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 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.
4. How to Find the LCM of 1403 and 1405?
Answer:
Least Common Multiple of 1403 and 1405 = 1971215
Step 1: Find the prime factorization of 1403
1403 = 23 x 61
Step 2: Find the prime factorization of 1405
1405 = 5 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1971215 = 5 x 23 x 61 x 281
Step 4: Therefore, the least common multiple of 1403 and 1405 is 1971215.