Least Common Multiple of 4171 and 4173
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4171 and 4173 the smallest integer that is 17405583 that is divisible by both numbers.
Least Common Multiple (LCM) of 4171 and 4173 is 17405583.
LCM(4171,4173) = 17405583
LCM of 4171 and 4173
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4171 and 4173 by Prime method
- Least Common Multiple of 4171 and 4173 with GCF Formula
LCM of 4171 and 4173 is 17405583
Least common multiple can be found by multiplying the highest exponent prime factors of 4171 and 4173. First we will calculate the prime factors of 4171 and 4173.
Prime Factorization of 4171
| 43 | 4171 |
| 97 | 97 |
| 1 |
Prime factors of 4171 are 43,97. Prime factorization of 4171 in exponential form is:
4171 = 431×971
Prime Factorization of 4173
| 3 | 4173 |
| 13 | 1391 |
| 107 | 107 |
| 1 |
Prime factors of 4173 are 3, 13,107. Prime factorization of 4173 in exponential form is:
4173 = 31×131×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 4171 and 4173.
LCM(4171,4173) = 31×131×431×971×1071
LCM(4171,4173) = 17405583
Factors of 4171
List of positive integer factors of 4171 that divides 4171 without a remainder.
1, 43, 97, 4171
Factors of 4173
List of positive integer factors of 4173 that divides 4173 without a remainder.
1, 3, 13, 39, 107, 321, 1391, 4173
Least Common Multiple of 4171 and 4173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4171 and 4173, than apply into the LCM equation.
GCF(4171,4173) = 1
LCM(4171,4173) = ( 4171 × 4173) / 1
LCM(4171,4173) = 17405583 / 1
LCM(4171,4173) = 17405583
Properties of LCM 4171 and 4173
(i) The LCM of 4173 and 4171 is associative
LCM of 4171 and 4173 = LCM of 4173 and 4171
Related Least Common Multiples of 4171
Related Least Common Multiples of 4173
Frequently Asked Questions on LCM of 4171 and 4173
1. What is the LCM of 4171 and 4173?
Answer: LCM of 4171 and 4173 is 17405583.
2. What are the Factors of 4171?
Answer: Factors of 4171 are 1, 43, 97, 4171. There are 4 integers that are factors of 4171. The greatest factor of 4171 is 4171.
3. What are the Factors of 4173?
Answer: Factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173. There are 8 integers that are factors of 4173. The greatest factor of 4173 is 4173.
4. How to Find the LCM of 4171 and 4173?
Answer:
Least Common Multiple of 4171 and 4173 = 17405583
Step 1: Find the prime factorization of 4171
4171 = 43 x 97
Step 2: Find the prime factorization of 4173
4173 = 3 x 13 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17405583 = 3 x 13 x 43 x 97 x 107
Step 4: Therefore, the least common multiple of 4171 and 4173 is 17405583.