Least Common Multiple of 2173 and 2178
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2173 and 2178 the smallest integer that is 4732794 that is divisible by both numbers.
Least Common Multiple (LCM) of 2173 and 2178 is 4732794.
LCM(2173,2178) = 4732794
LCM of 2173 and 2178
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2173 and 2178 by Prime method
- Least Common Multiple of 2173 and 2178 with GCF Formula
LCM of 2173 and 2178 is 4732794
Least common multiple can be found by multiplying the highest exponent prime factors of 2173 and 2178. First we will calculate the prime factors of 2173 and 2178.
Prime Factorization of 2173
| 41 | 2173 |
| 53 | 53 |
| 1 |
Prime factors of 2173 are 41,53. Prime factorization of 2173 in exponential form is:
2173 = 411×531
Prime Factorization of 2178
| 2 | 2178 |
| 3 | 1089 |
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 2178 are 2, 3,11. Prime factorization of 2178 in exponential form is:
2178 = 21×32×112
Now multiplying the highest exponent prime factors to calculate the LCM of 2173 and 2178.
LCM(2173,2178) = 21×32×112×411×531
LCM(2173,2178) = 4732794
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1, 41, 53, 2173
Factors of 2178
List of positive integer factors of 2178 that divides 2178 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178
Least Common Multiple of 2173 and 2178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2173 and 2178, than apply into the LCM equation.
GCF(2173,2178) = 1
LCM(2173,2178) = ( 2173 × 2178) / 1
LCM(2173,2178) = 4732794 / 1
LCM(2173,2178) = 4732794
Properties of LCM 2173 and 2178
(i) The LCM of 2178 and 2173 is associative
LCM of 2173 and 2178 = LCM of 2178 and 2173
Related Least Common Multiples of 2173
Related Least Common Multiples of 2178
Frequently Asked Questions on LCM of 2173 and 2178
1. What is the LCM of 2173 and 2178?
Answer: LCM of 2173 and 2178 is 4732794.
2. What are the Factors of 2173?
Answer: Factors of 2173 are 1, 41, 53, 2173. There are 4 integers that are factors of 2173. The greatest factor of 2173 is 2173.
3. What are the Factors of 2178?
Answer: Factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178. There are 18 integers that are factors of 2178. The greatest factor of 2178 is 2178.
4. How to Find the LCM of 2173 and 2178?
Answer:
Least Common Multiple of 2173 and 2178 = 4732794
Step 1: Find the prime factorization of 2173
2173 = 41 x 53
Step 2: Find the prime factorization of 2178
2178 = 2 x 3 x 3 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4732794 = 2 x 3 x 3 x 11 x 11 x 41 x 53
Step 4: Therefore, the least common multiple of 2173 and 2178 is 4732794.