Least Common Multiple of 4185 and 4193
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4185 and 4193 the smallest integer that is 17547705 that is divisible by both numbers.
Least Common Multiple (LCM) of 4185 and 4193 is 17547705.
LCM(4185,4193) = 17547705
LCM of 4185 and 4193
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4185 and 4193 by Prime method
- Least Common Multiple of 4185 and 4193 with GCF Formula
LCM of 4185 and 4193 is 17547705
Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4193. First we will calculate the prime factors of 4185 and 4193.
Prime Factorization of 4185
| 3 | 4185 |
| 3 | 1395 |
| 3 | 465 |
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 4185 are 3, 5,31. Prime factorization of 4185 in exponential form is:
4185 = 33×51×311
Prime Factorization of 4193
| 7 | 4193 |
| 599 | 599 |
| 1 |
Prime factors of 4193 are 7,599. Prime factorization of 4193 in exponential form is:
4193 = 71×5991
Now multiplying the highest exponent prime factors to calculate the LCM of 4185 and 4193.
LCM(4185,4193) = 33×51×71×311×5991
LCM(4185,4193) = 17547705
Factors of 4185
List of positive integer factors of 4185 that divides 4185 without a remainder.
1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185
Factors of 4193
List of positive integer factors of 4193 that divides 4193 without a remainder.
1, 7, 599, 4193
Least Common Multiple of 4185 and 4193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4185 and 4193, than apply into the LCM equation.
GCF(4185,4193) = 1
LCM(4185,4193) = ( 4185 × 4193) / 1
LCM(4185,4193) = 17547705 / 1
LCM(4185,4193) = 17547705
Properties of LCM 4185 and 4193
(i) The LCM of 4193 and 4185 is associative
LCM of 4185 and 4193 = LCM of 4193 and 4185
Related Least Common Multiples of 4185
Related Least Common Multiples of 4193
Frequently Asked Questions on LCM of 4185 and 4193
1. What is the LCM of 4185 and 4193?
Answer: LCM of 4185 and 4193 is 17547705.
2. What are the Factors of 4185?
Answer: Factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185. There are 16 integers that are factors of 4185. The greatest factor of 4185 is 4185.
3. What are the Factors of 4193?
Answer: Factors of 4193 are 1, 7, 599, 4193. There are 4 integers that are factors of 4193. The greatest factor of 4193 is 4193.
4. How to Find the LCM of 4185 and 4193?
Answer:
Least Common Multiple of 4185 and 4193 = 17547705
Step 1: Find the prime factorization of 4185
4185 = 3 x 3 x 3 x 5 x 31
Step 2: Find the prime factorization of 4193
4193 = 7 x 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17547705 = 3 x 3 x 3 x 5 x 7 x 31 x 599
Step 4: Therefore, the least common multiple of 4185 and 4193 is 17547705.