Least Common Multiple of 178 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 178 and 185 the smallest integer that is 32930 that is divisible by both numbers.
Least Common Multiple (LCM) of 178 and 185 is 32930.
LCM(178,185) = 32930
LCM of 178 and 185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 178 and 185 by Prime method
- Least Common Multiple of 178 and 185 with GCF Formula
LCM of 178 and 185 is 32930
Least common multiple can be found by multiplying the highest exponent prime factors of 178 and 185. First we will calculate the prime factors of 178 and 185.
Prime Factorization of 178
| 2 | 178 |
| 89 | 89 |
| 1 |
Prime factors of 178 are 2,89. Prime factorization of 178 in exponential form is:
178 = 21×891
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 178 and 185.
LCM(178,185) = 21×51×371×891
LCM(178,185) = 32930
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Least Common Multiple of 178 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 178 and 185, than apply into the LCM equation.
GCF(178,185) = 1
LCM(178,185) = ( 178 × 185) / 1
LCM(178,185) = 32930 / 1
LCM(178,185) = 32930
Properties of LCM 178 and 185
(i) The LCM of 185 and 178 is associative
LCM of 178 and 185 = LCM of 185 and 178
Related Least Common Multiples of 178
Related Least Common Multiples of 185
Frequently Asked Questions on LCM of 178 and 185
1. What is the LCM of 178 and 185?
Answer: LCM of 178 and 185 is 32930.
2. What are the Factors of 178?
Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.
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 178 and 185?
Answer:
Least Common Multiple of 178 and 185 = 32930
Step 1: Find the prime factorization of 178
178 = 2 x 89
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 = 32930 = 2 x 5 x 37 x 89
Step 4: Therefore, the least common multiple of 178 and 185 is 32930.
