Least Common Multiple of 185 and 186
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 185 and 186 the smallest integer that is 34410 that is divisible by both numbers.
Least Common Multiple (LCM) of 185 and 186 is 34410.
LCM(185,186) = 34410
LCM of 185 and 186
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 185 and 186 by Prime method
- Least Common Multiple of 185 and 186 with GCF Formula
LCM of 185 and 186 is 34410
Least common multiple can be found by multiplying the highest exponent prime factors of 185 and 186. First we will calculate the prime factors of 185 and 186.
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
Prime Factorization of 186
| 2 | 186 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 186 are 2, 3,31. Prime factorization of 186 in exponential form is:
186 = 21×31×311
Now multiplying the highest exponent prime factors to calculate the LCM of 185 and 186.
LCM(185,186) = 21×31×51×311×371
LCM(185,186) = 34410
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Least Common Multiple of 185 and 186 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 185 and 186, than apply into the LCM equation.
GCF(185,186) = 1
LCM(185,186) = ( 185 × 186) / 1
LCM(185,186) = 34410 / 1
LCM(185,186) = 34410
Properties of LCM 185 and 186
(i) The LCM of 186 and 185 is associative
LCM of 185 and 186 = LCM of 186 and 185
Related Least Common Multiples of 185
Related Least Common Multiples of 186
Frequently Asked Questions on LCM of 185 and 186
1. What is the LCM of 185 and 186?
Answer: LCM of 185 and 186 is 34410.
2. 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.
3. What are the Factors of 186?
Answer: Factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186. There are 8 integers that are factors of 186. The greatest factor of 186 is 186.
4. How to Find the LCM of 185 and 186?
Answer:
Least Common Multiple of 185 and 186 = 34410
Step 1: Find the prime factorization of 185
185 = 5 x 37
Step 2: Find the prime factorization of 186
186 = 2 x 3 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34410 = 2 x 3 x 5 x 31 x 37
Step 4: Therefore, the least common multiple of 185 and 186 is 34410.
