Least Common Multiple of 181 and 185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 181 and 185 the smallest integer that is 33485 that is divisible by both numbers.
Least Common Multiple (LCM) of 181 and 185 is 33485.
LCM(181,185) = 33485
LCM of 181 and 185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 181 and 185 by Prime method
- Least Common Multiple of 181 and 185 with GCF Formula
LCM of 181 and 185 is 33485
Least common multiple can be found by multiplying the highest exponent prime factors of 181 and 185. First we will calculate the prime factors of 181 and 185.
Prime Factorization of 181
| 181 | 181 |
| 1 |
Prime factors of 181 are 181. Prime factorization of 181 in exponential form is:
181 = 1811
Prime Factorization of 185
| 5 | 185 |
| 37 | 37 |
| 1 |
Prime factors of 185 are 5,37. Prime factorization of 185 in exponential form is:
185 = 51×371
Now multiplying the highest exponent prime factors to calculate the LCM of 181 and 185.
LCM(181,185) = 51×371×1811
LCM(181,185) = 33485
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1, 181
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Least Common Multiple of 181 and 185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 181 and 185, than apply into the LCM equation.
GCF(181,185) = 1
LCM(181,185) = ( 181 × 185) / 1
LCM(181,185) = 33485 / 1
LCM(181,185) = 33485
Properties of LCM 181 and 185
(i) The LCM of 185 and 181 is associative
LCM of 181 and 185 = LCM of 185 and 181
Related Least Common Multiples of 181
Related Least Common Multiples of 185
Frequently Asked Questions on LCM of 181 and 185
1. What is the LCM of 181 and 185?
Answer: LCM of 181 and 185 is 33485.
2. What are the Factors of 181?
Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.
3. What are the Factors of 185?
Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.
4. How to Find the LCM of 181 and 185?
Answer:
Least Common Multiple of 181 and 185 = 33485
Step 1: Find the prime factorization of 181
181 = 181
Step 2: Find the prime factorization of 185
185 = 5 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33485 = 5 x 37 x 181
Step 4: Therefore, the least common multiple of 181 and 185 is 33485.