Least Common Multiple of 4181 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 4181 and 4187 the smallest integer that is 17505847 that is divisible by both numbers.
Least Common Multiple (LCM) of 4181 and 4187 is 17505847.
LCM(4181,4187) = 17505847
LCM of 4181 and 4187
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4181 and 4187 by Prime method
- Least Common Multiple of 4181 and 4187 with GCF Formula
LCM of 4181 and 4187 is 17505847
Least common multiple can be found by multiplying the highest exponent prime factors of 4181 and 4187. First we will calculate the prime factors of 4181 and 4187.
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 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 4181 and 4187.
LCM(4181,4187) = 371×531×791×1131
LCM(4181,4187) = 17505847
Factors of 4181
List of positive integer factors of 4181 that divides 4181 without a remainder.
1, 37, 113, 4181
Factors of 4187
List of positive integer factors of 4187 that divides 4187 without a remainder.
1, 53, 79, 4187
Least Common Multiple of 4181 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 4181 and 4187, than apply into the LCM equation.
GCF(4181,4187) = 1
LCM(4181,4187) = ( 4181 × 4187) / 1
LCM(4181,4187) = 17505847 / 1
LCM(4181,4187) = 17505847
Properties of LCM 4181 and 4187
(i) The LCM of 4187 and 4181 is associative
LCM of 4181 and 4187 = LCM of 4187 and 4181
Related Least Common Multiples of 4181
Related Least Common Multiples of 4187
Frequently Asked Questions on LCM of 4181 and 4187
1. What is the LCM of 4181 and 4187?
Answer: LCM of 4181 and 4187 is 17505847.
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 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 4181 and 4187?
Answer:
Least Common Multiple of 4181 and 4187 = 17505847
Step 1: Find the prime factorization of 4181
4181 = 37 x 113
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 = 17505847 = 37 x 53 x 79 x 113
Step 4: Therefore, the least common multiple of 4181 and 4187 is 17505847.