Least Common Multiple of 1763 and 1767
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1763 and 1767 the smallest integer that is 3115221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1763 and 1767 is 3115221.
LCM(1763,1767) = 3115221
LCM of 1763 and 1767
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1763 and 1767 by Prime method
- Least Common Multiple of 1763 and 1767 with GCF Formula
LCM of 1763 and 1767 is 3115221
Least common multiple can be found by multiplying the highest exponent prime factors of 1763 and 1767. First we will calculate the prime factors of 1763 and 1767.
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
Prime Factorization of 1767
| 3 | 1767 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 1767 are 3, 19,31. Prime factorization of 1767 in exponential form is:
1767 = 31×191×311
Now multiplying the highest exponent prime factors to calculate the LCM of 1763 and 1767.
LCM(1763,1767) = 31×191×311×411×431
LCM(1763,1767) = 3115221
Factors of 1763
List of positive integer factors of 1763 that divides 1763 without a remainder.
1, 41, 43, 1763
Factors of 1767
List of positive integer factors of 1767 that divides 1767 without a remainder.
1, 3, 19, 31, 57, 93, 589, 1767
Least Common Multiple of 1763 and 1767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1763 and 1767, than apply into the LCM equation.
GCF(1763,1767) = 1
LCM(1763,1767) = ( 1763 × 1767) / 1
LCM(1763,1767) = 3115221 / 1
LCM(1763,1767) = 3115221
Properties of LCM 1763 and 1767
(i) The LCM of 1767 and 1763 is associative
LCM of 1763 and 1767 = LCM of 1767 and 1763
Related Least Common Multiples of 1763
Related Least Common Multiples of 1767
Frequently Asked Questions on LCM of 1763 and 1767
1. What is the LCM of 1763 and 1767?
Answer: LCM of 1763 and 1767 is 3115221.
2. 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.
3. What are the Factors of 1767?
Answer: Factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767. There are 8 integers that are factors of 1767. The greatest factor of 1767 is 1767.
4. How to Find the LCM of 1763 and 1767?
Answer:
Least Common Multiple of 1763 and 1767 = 3115221
Step 1: Find the prime factorization of 1763
1763 = 41 x 43
Step 2: Find the prime factorization of 1767
1767 = 3 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3115221 = 3 x 19 x 31 x 41 x 43
Step 4: Therefore, the least common multiple of 1763 and 1767 is 3115221.