Least Common Multiple of 4181 and 4189
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4181 and 4189 the smallest integer that is 17514209 that is divisible by both numbers.
Least Common Multiple (LCM) of 4181 and 4189 is 17514209.
LCM(4181,4189) = 17514209
LCM of 4181 and 4189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4181 and 4189 by Prime method
- Least Common Multiple of 4181 and 4189 with GCF Formula
LCM of 4181 and 4189 is 17514209
Least common multiple can be found by multiplying the highest exponent prime factors of 4181 and 4189. First we will calculate the prime factors of 4181 and 4189.
Prime Factorization of 4181
| 37 | 4181 |
| 113 | 113 |
| 1 |
Prime factors of 4181 are 37,113. Prime factorization of 4181 in exponential form is:
4181 = 371×1131
Prime Factorization of 4189
| 59 | 4189 |
| 71 | 71 |
| 1 |
Prime factors of 4189 are 59,71. Prime factorization of 4189 in exponential form is:
4189 = 591×711
Now multiplying the highest exponent prime factors to calculate the LCM of 4181 and 4189.
LCM(4181,4189) = 371×591×711×1131
LCM(4181,4189) = 17514209
Factors of 4181
List of positive integer factors of 4181 that divides 4181 without a remainder.
1, 37, 113, 4181
Factors of 4189
List of positive integer factors of 4189 that divides 4189 without a remainder.
1, 59, 71, 4189
Least Common Multiple of 4181 and 4189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4181 and 4189, than apply into the LCM equation.
GCF(4181,4189) = 1
LCM(4181,4189) = ( 4181 × 4189) / 1
LCM(4181,4189) = 17514209 / 1
LCM(4181,4189) = 17514209
Properties of LCM 4181 and 4189
(i) The LCM of 4189 and 4181 is associative
LCM of 4181 and 4189 = LCM of 4189 and 4181
Related Least Common Multiples of 4181
Related Least Common Multiples of 4189
Frequently Asked Questions on LCM of 4181 and 4189
1. What is the LCM of 4181 and 4189?
Answer: LCM of 4181 and 4189 is 17514209.
2. What are the Factors of 4181?
Answer: Factors of 4181 are 1, 37, 113, 4181. There are 4 integers that are factors of 4181. The greatest factor of 4181 is 4181.
3. What are the Factors of 4189?
Answer: Factors of 4189 are 1, 59, 71, 4189. There are 4 integers that are factors of 4189. The greatest factor of 4189 is 4189.
4. How to Find the LCM of 4181 and 4189?
Answer:
Least Common Multiple of 4181 and 4189 = 17514209
Step 1: Find the prime factorization of 4181
4181 = 37 x 113
Step 2: Find the prime factorization of 4189
4189 = 59 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17514209 = 37 x 59 x 71 x 113
Step 4: Therefore, the least common multiple of 4181 and 4189 is 17514209.