Least Common Multiple (LCM) of 136 and 193
The least common multiple (LCM) of 136 and 193 is 26248.
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 193?
First, calculate the GCD of 136 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 193 = 0 remainder 136 |
| 2 | 193 ÷ 136 = 1 remainder 57 |
| 3 | 136 ÷ 57 = 2 remainder 22 |
| 4 | 57 ÷ 22 = 2 remainder 13 |
| 5 | 22 ÷ 13 = 1 remainder 9 |
| 6 | 13 ÷ 9 = 1 remainder 4 |
| 7 | 9 ÷ 4 = 2 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 15 | 510 |
| 170 and 26 | 2210 |
| 198 and 99 | 198 |
| 198 and 64 | 6336 |
| 145 and 116 | 580 |