Least Common Multiple of 4185 and 4187
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 4187 the smallest integer that is 17522595 that is divisible by both numbers.
Least Common Multiple (LCM) of 4185 and 4187 is 17522595.
LCM(4185,4187) = 17522595
LCM of 4185 and 4187
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4185 and 4187 by Prime method
- Least Common Multiple of 4185 and 4187 with GCF Formula
LCM of 4185 and 4187 is 17522595
Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4187. First we will calculate the prime factors of 4185 and 4187.
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 4187
| 53 | 4187 |
| 79 | 79 |
| 1 |
Prime factors of 4187 are 53,79. Prime factorization of 4187 in exponential form is:
4187 = 531×791
Now multiplying the highest exponent prime factors to calculate the LCM of 4185 and 4187.
LCM(4185,4187) = 33×51×311×531×791
LCM(4185,4187) = 17522595
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 4187
List of positive integer factors of 4187 that divides 4187 without a remainder.
1, 53, 79, 4187
Least Common Multiple of 4185 and 4187 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 4187, than apply into the LCM equation.
GCF(4185,4187) = 1
LCM(4185,4187) = ( 4185 × 4187) / 1
LCM(4185,4187) = 17522595 / 1
LCM(4185,4187) = 17522595
Properties of LCM 4185 and 4187
(i) The LCM of 4187 and 4185 is associative
LCM of 4185 and 4187 = LCM of 4187 and 4185
Related Least Common Multiples of 4185
Related Least Common Multiples of 4187
Frequently Asked Questions on LCM of 4185 and 4187
1. What is the LCM of 4185 and 4187?
Answer: LCM of 4185 and 4187 is 17522595.
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 4187?
Answer: Factors of 4187 are 1, 53, 79, 4187. There are 4 integers that are factors of 4187. The greatest factor of 4187 is 4187.
4. How to Find the LCM of 4185 and 4187?
Answer:
Least Common Multiple of 4185 and 4187 = 17522595
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 4187
4187 = 53 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17522595 = 3 x 3 x 3 x 5 x 31 x 53 x 79
Step 4: Therefore, the least common multiple of 4185 and 4187 is 17522595.
