Least Common Multiple (LCM) of 185 and 131
The least common multiple (LCM) of 185 and 131 is 24235.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 185 and 131?
First, calculate the GCD of 185 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 131 = 1 remainder 54 |
| 2 | 131 ÷ 54 = 2 remainder 23 |
| 3 | 54 ÷ 23 = 2 remainder 8 |
| 4 | 23 ÷ 8 = 2 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 40 | 160 |
| 105 and 52 | 5460 |
| 165 and 73 | 12045 |
| 136 and 200 | 3400 |
| 32 and 198 | 3168 |