Least Common Multiple of 4186 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 4186 and 4189 the smallest integer that is 17535154 that is divisible by both numbers.
Least Common Multiple (LCM) of 4186 and 4189 is 17535154.
LCM(4186,4189) = 17535154
LCM of 4186 and 4189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4186 and 4189 by Prime method
- Least Common Multiple of 4186 and 4189 with GCF Formula
LCM of 4186 and 4189 is 17535154
Least common multiple can be found by multiplying the highest exponent prime factors of 4186 and 4189. First we will calculate the prime factors of 4186 and 4189.
Prime Factorization of 4186
| 2 | 4186 |
| 7 | 2093 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 4186 are 2, 7, 13,23. Prime factorization of 4186 in exponential form is:
4186 = 21×71×131×231
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 4186 and 4189.
LCM(4186,4189) = 21×71×131×231×591×711
LCM(4186,4189) = 17535154
Factors of 4186
List of positive integer factors of 4186 that divides 4186 without a remainder.
1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186
Factors of 4189
List of positive integer factors of 4189 that divides 4189 without a remainder.
1, 59, 71, 4189
Least Common Multiple of 4186 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 4186 and 4189, than apply into the LCM equation.
GCF(4186,4189) = 1
LCM(4186,4189) = ( 4186 × 4189) / 1
LCM(4186,4189) = 17535154 / 1
LCM(4186,4189) = 17535154
Properties of LCM 4186 and 4189
(i) The LCM of 4189 and 4186 is associative
LCM of 4186 and 4189 = LCM of 4189 and 4186
Related Least Common Multiples of 4186
Related Least Common Multiples of 4189
Frequently Asked Questions on LCM of 4186 and 4189
1. What is the LCM of 4186 and 4189?
Answer: LCM of 4186 and 4189 is 17535154.
2. What are the Factors of 4186?
Answer: Factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186. There are 16 integers that are factors of 4186. The greatest factor of 4186 is 4186.
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 4186 and 4189?
Answer:
Least Common Multiple of 4186 and 4189 = 17535154
Step 1: Find the prime factorization of 4186
4186 = 2 x 7 x 13 x 23
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 = 17535154 = 2 x 7 x 13 x 23 x 59 x 71
Step 4: Therefore, the least common multiple of 4186 and 4189 is 17535154.
