Least Common Multiple (LCM) of 136 and 197
The least common multiple (LCM) of 136 and 197 is 26792.
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 197?
First, calculate the GCD of 136 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 197 = 0 remainder 136 |
| 2 | 197 ÷ 136 = 1 remainder 61 |
| 3 | 136 ÷ 61 = 2 remainder 14 |
| 4 | 61 ÷ 14 = 4 remainder 5 |
| 5 | 14 ÷ 5 = 2 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 167 | 25718 |
| 111 and 104 | 11544 |
| 30 and 109 | 3270 |
| 193 and 34 | 6562 |
| 188 and 173 | 32524 |