Least Common Multiple (LCM) of 186 and 137
The least common multiple (LCM) of 186 and 137 is 25482.
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 186 and 137?
First, calculate the GCD of 186 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 137 = 1 remainder 49 |
| 2 | 137 ÷ 49 = 2 remainder 39 |
| 3 | 49 ÷ 39 = 1 remainder 10 |
| 4 | 39 ÷ 10 = 3 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 122 | 1464 |
| 41 and 154 | 6314 |
| 188 and 46 | 4324 |
| 56 and 165 | 9240 |
| 32 and 106 | 1696 |