Least Common Multiple of 2173 and 2181
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 2181 the smallest integer that is 4739313 that is divisible by both numbers.
Least Common Multiple (LCM) of 2173 and 2181 is 4739313.
LCM(2173,2181) = 4739313
LCM of 2173 and 2181
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2173 and 2181 by Prime method
- Least Common Multiple of 2173 and 2181 with GCF Formula
LCM of 2173 and 2181 is 4739313
Least common multiple can be found by multiplying the highest exponent prime factors of 2173 and 2181. First we will calculate the prime factors of 2173 and 2181.
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 2181
| 3 | 2181 |
| 727 | 727 |
| 1 |
Prime factors of 2181 are 3,727. Prime factorization of 2181 in exponential form is:
2181 = 31×7271
Now multiplying the highest exponent prime factors to calculate the LCM of 2173 and 2181.
LCM(2173,2181) = 31×411×531×7271
LCM(2173,2181) = 4739313
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1, 41, 53, 2173
Factors of 2181
List of positive integer factors of 2181 that divides 2181 without a remainder.
1, 3, 727, 2181
Least Common Multiple of 2173 and 2181 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 2181, than apply into the LCM equation.
GCF(2173,2181) = 1
LCM(2173,2181) = ( 2173 × 2181) / 1
LCM(2173,2181) = 4739313 / 1
LCM(2173,2181) = 4739313
Properties of LCM 2173 and 2181
(i) The LCM of 2181 and 2173 is associative
LCM of 2173 and 2181 = LCM of 2181 and 2173
Related Least Common Multiples of 2173
Related Least Common Multiples of 2181
Frequently Asked Questions on LCM of 2173 and 2181
1. What is the LCM of 2173 and 2181?
Answer: LCM of 2173 and 2181 is 4739313.
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 2181?
Answer: Factors of 2181 are 1, 3, 727, 2181. There are 4 integers that are factors of 2181. The greatest factor of 2181 is 2181.
4. How to Find the LCM of 2173 and 2181?
Answer:
Least Common Multiple of 2173 and 2181 = 4739313
Step 1: Find the prime factorization of 2173
2173 = 41 x 53
Step 2: Find the prime factorization of 2181
2181 = 3 x 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4739313 = 3 x 41 x 53 x 727
Step 4: Therefore, the least common multiple of 2173 and 2181 is 4739313.