Least Common Multiple of 177 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 177 and 185 the smallest integer that is 32745 that is divisible by both numbers.
Least Common Multiple (LCM) of 177 and 185 is 32745.
LCM(177,185) = 32745
LCM of 177 and 185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 177 and 185 by Prime method
- Least Common Multiple of 177 and 185 with GCF Formula
LCM of 177 and 185 is 32745
Least common multiple can be found by multiplying the highest exponent prime factors of 177 and 185. First we will calculate the prime factors of 177 and 185.
Prime Factorization of 177
| 3 | 177 |
| 59 | 59 |
| 1 |
Prime factors of 177 are 3,59. Prime factorization of 177 in exponential form is:
177 = 31×591
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 177 and 185.
LCM(177,185) = 31×51×371×591
LCM(177,185) = 32745
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Least Common Multiple of 177 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 177 and 185, than apply into the LCM equation.
GCF(177,185) = 1
LCM(177,185) = ( 177 × 185) / 1
LCM(177,185) = 32745 / 1
LCM(177,185) = 32745
Properties of LCM 177 and 185
(i) The LCM of 185 and 177 is associative
LCM of 177 and 185 = LCM of 185 and 177
Related Least Common Multiples of 177
Related Least Common Multiples of 185
Frequently Asked Questions on LCM of 177 and 185
1. What is the LCM of 177 and 185?
Answer: LCM of 177 and 185 is 32745.
2. What are the Factors of 177?
Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.
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 177 and 185?
Answer:
Least Common Multiple of 177 and 185 = 32745
Step 1: Find the prime factorization of 177
177 = 3 x 59
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 = 32745 = 3 x 5 x 37 x 59
Step 4: Therefore, the least common multiple of 177 and 185 is 32745.