Least Common Multiple (LCM) of 136 and 190
The least common multiple (LCM) of 136 and 190 is 12920.
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 136 and 190?
First, calculate the GCD of 136 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 190 = 0 remainder 136 |
| 2 | 190 ÷ 136 = 1 remainder 54 |
| 3 | 136 ÷ 54 = 2 remainder 28 |
| 4 | 54 ÷ 28 = 1 remainder 26 |
| 5 | 28 ÷ 26 = 1 remainder 2 |
| 6 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 69 | 276 |
| 178 and 168 | 14952 |
| 97 and 84 | 8148 |
| 195 and 66 | 4290 |
| 157 and 197 | 30929 |