Least Common Multiple of 1755 and 1763
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1755 and 1763 the smallest integer that is 3094065 that is divisible by both numbers.
Least Common Multiple (LCM) of 1755 and 1763 is 3094065.
LCM(1755,1763) = 3094065
LCM of 1755 and 1763
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1755 and 1763 by Prime method
- Least Common Multiple of 1755 and 1763 with GCF Formula
LCM of 1755 and 1763 is 3094065
Least common multiple can be found by multiplying the highest exponent prime factors of 1755 and 1763. First we will calculate the prime factors of 1755 and 1763.
Prime Factorization of 1755
| 3 | 1755 |
| 3 | 585 |
| 3 | 195 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 1755 are 3, 5,13. Prime factorization of 1755 in exponential form is:
1755 = 33×51×131
Prime Factorization of 1763
| 41 | 1763 |
| 43 | 43 |
| 1 |
Prime factors of 1763 are 41,43. Prime factorization of 1763 in exponential form is:
1763 = 411×431
Now multiplying the highest exponent prime factors to calculate the LCM of 1755 and 1763.
LCM(1755,1763) = 33×51×131×411×431
LCM(1755,1763) = 3094065
Factors of 1755
List of positive integer factors of 1755 that divides 1755 without a remainder.
1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
Factors of 1763
List of positive integer factors of 1763 that divides 1763 without a remainder.
1, 41, 43, 1763
Least Common Multiple of 1755 and 1763 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1755 and 1763, than apply into the LCM equation.
GCF(1755,1763) = 1
LCM(1755,1763) = ( 1755 × 1763) / 1
LCM(1755,1763) = 3094065 / 1
LCM(1755,1763) = 3094065
Properties of LCM 1755 and 1763
(i) The LCM of 1763 and 1755 is associative
LCM of 1755 and 1763 = LCM of 1763 and 1755
Related Least Common Multiples of 1755
Related Least Common Multiples of 1763
Frequently Asked Questions on LCM of 1755 and 1763
1. What is the LCM of 1755 and 1763?
Answer: LCM of 1755 and 1763 is 3094065.
2. What are the Factors of 1755?
Answer: Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. There are 16 integers that are factors of 1755. The greatest factor of 1755 is 1755.
3. What are the Factors of 1763?
Answer: Factors of 1763 are 1, 41, 43, 1763. There are 4 integers that are factors of 1763. The greatest factor of 1763 is 1763.
4. How to Find the LCM of 1755 and 1763?
Answer:
Least Common Multiple of 1755 and 1763 = 3094065
Step 1: Find the prime factorization of 1755
1755 = 3 x 3 x 3 x 5 x 13
Step 2: Find the prime factorization of 1763
1763 = 41 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3094065 = 3 x 3 x 3 x 5 x 13 x 41 x 43
Step 4: Therefore, the least common multiple of 1755 and 1763 is 3094065.