Least Common Multiple of 4171 and 4179
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 4179 the smallest integer that is 17430609 that is divisible by both numbers.
Least Common Multiple (LCM) of 4171 and 4179 is 17430609.
LCM(4171,4179) = 17430609
LCM of 4171 and 4179
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4171 and 4179 by Prime method
- Least Common Multiple of 4171 and 4179 with GCF Formula
LCM of 4171 and 4179 is 17430609
Least common multiple can be found by multiplying the highest exponent prime factors of 4171 and 4179. First we will calculate the prime factors of 4171 and 4179.
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 4179
| 3 | 4179 |
| 7 | 1393 |
| 199 | 199 |
| 1 |
Prime factors of 4179 are 3, 7,199. Prime factorization of 4179 in exponential form is:
4179 = 31×71×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 4171 and 4179.
LCM(4171,4179) = 31×71×431×971×1991
LCM(4171,4179) = 17430609
Factors of 4171
List of positive integer factors of 4171 that divides 4171 without a remainder.
1, 43, 97, 4171
Factors of 4179
List of positive integer factors of 4179 that divides 4179 without a remainder.
1, 3, 7, 21, 199, 597, 1393, 4179
Least Common Multiple of 4171 and 4179 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 4179, than apply into the LCM equation.
GCF(4171,4179) = 1
LCM(4171,4179) = ( 4171 × 4179) / 1
LCM(4171,4179) = 17430609 / 1
LCM(4171,4179) = 17430609
Properties of LCM 4171 and 4179
(i) The LCM of 4179 and 4171 is associative
LCM of 4171 and 4179 = LCM of 4179 and 4171
Related Least Common Multiples of 4171
Related Least Common Multiples of 4179
Frequently Asked Questions on LCM of 4171 and 4179
1. What is the LCM of 4171 and 4179?
Answer: LCM of 4171 and 4179 is 17430609.
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 4179?
Answer: Factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179. There are 8 integers that are factors of 4179. The greatest factor of 4179 is 4179.
4. How to Find the LCM of 4171 and 4179?
Answer:
Least Common Multiple of 4171 and 4179 = 17430609
Step 1: Find the prime factorization of 4171
4171 = 43 x 97
Step 2: Find the prime factorization of 4179
4179 = 3 x 7 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17430609 = 3 x 7 x 43 x 97 x 199
Step 4: Therefore, the least common multiple of 4171 and 4179 is 17430609.