Least Common Multiple of 185 and 193
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 193 the smallest integer that is 35705 that is divisible by both numbers.
Least Common Multiple (LCM) of 185 and 193 is 35705.
LCM(185,193) = 35705
LCM of 185 and 193
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 185 and 193 by Prime method
- Least Common Multiple of 185 and 193 with GCF Formula
LCM of 185 and 193 is 35705
Least common multiple can be found by multiplying the highest exponent prime factors of 185 and 193. First we will calculate the prime factors of 185 and 193.
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 193
| 193 | 193 |
| 1 |
Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:
193 = 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 185 and 193.
LCM(185,193) = 51×371×1931
LCM(185,193) = 35705
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1, 193
Least Common Multiple of 185 and 193 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 193, than apply into the LCM equation.
GCF(185,193) = 1
LCM(185,193) = ( 185 × 193) / 1
LCM(185,193) = 35705 / 1
LCM(185,193) = 35705
Properties of LCM 185 and 193
(i) The LCM of 193 and 185 is associative
LCM of 185 and 193 = LCM of 193 and 185
Related Least Common Multiples of 185
Related Least Common Multiples of 193
Frequently Asked Questions on LCM of 185 and 193
1. What is the LCM of 185 and 193?
Answer: LCM of 185 and 193 is 35705.
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 193?
Answer: Factors of 193 are 1, 193. There are 2 integers that are factors of 193. The greatest factor of 193 is 193.
4. How to Find the LCM of 185 and 193?
Answer:
Least Common Multiple of 185 and 193 = 35705
Step 1: Find the prime factorization of 185
185 = 5 x 37
Step 2: Find the prime factorization of 193
193 = 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35705 = 5 x 37 x 193
Step 4: Therefore, the least common multiple of 185 and 193 is 35705.
