Least Common Multiple (LCM) of 136 and 85
The least common multiple (LCM) of 136 and 85 is 680.
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 85?
First, calculate the GCD of 136 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 85 = 1 remainder 51 |
| 2 | 85 ÷ 51 = 1 remainder 34 |
| 3 | 51 ÷ 34 = 1 remainder 17 |
| 4 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 167 | 13360 |
| 177 and 112 | 19824 |
| 35 and 193 | 6755 |
| 18 and 22 | 198 |
| 157 and 33 | 5181 |