Least Common Multiple of 4171 and 4175
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 4175 the smallest integer that is 17413925 that is divisible by both numbers.
Least Common Multiple (LCM) of 4171 and 4175 is 17413925.
LCM(4171,4175) = 17413925
LCM of 4171 and 4175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4171 and 4175 by Prime method
- Least Common Multiple of 4171 and 4175 with GCF Formula
LCM of 4171 and 4175 is 17413925
Least common multiple can be found by multiplying the highest exponent prime factors of 4171 and 4175. First we will calculate the prime factors of 4171 and 4175.
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 4175
| 5 | 4175 |
| 5 | 835 |
| 167 | 167 |
| 1 |
Prime factors of 4175 are 5,167. Prime factorization of 4175 in exponential form is:
4175 = 52×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 4171 and 4175.
LCM(4171,4175) = 52×431×971×1671
LCM(4171,4175) = 17413925
Factors of 4171
List of positive integer factors of 4171 that divides 4171 without a remainder.
1, 43, 97, 4171
Factors of 4175
List of positive integer factors of 4175 that divides 4175 without a remainder.
1, 5, 25, 167, 835, 4175
Least Common Multiple of 4171 and 4175 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 4175, than apply into the LCM equation.
GCF(4171,4175) = 1
LCM(4171,4175) = ( 4171 × 4175) / 1
LCM(4171,4175) = 17413925 / 1
LCM(4171,4175) = 17413925
Properties of LCM 4171 and 4175
(i) The LCM of 4175 and 4171 is associative
LCM of 4171 and 4175 = LCM of 4175 and 4171
Related Least Common Multiples of 4171
Related Least Common Multiples of 4175
Frequently Asked Questions on LCM of 4171 and 4175
1. What is the LCM of 4171 and 4175?
Answer: LCM of 4171 and 4175 is 17413925.
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 4175?
Answer: Factors of 4175 are 1, 5, 25, 167, 835, 4175. There are 6 integers that are factors of 4175. The greatest factor of 4175 is 4175.
4. How to Find the LCM of 4171 and 4175?
Answer:
Least Common Multiple of 4171 and 4175 = 17413925
Step 1: Find the prime factorization of 4171
4171 = 43 x 97
Step 2: Find the prime factorization of 4175
4175 = 5 x 5 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17413925 = 5 x 5 x 43 x 97 x 167
Step 4: Therefore, the least common multiple of 4171 and 4175 is 17413925.