Least Common Multiple (LCM) of 136 and 170
The least common multiple (LCM) of 136 and 170 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 170?
First, calculate the GCD of 136 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 170 = 0 remainder 136 |
| 2 | 170 ÷ 136 = 1 remainder 34 |
| 3 | 136 ÷ 34 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 105 | 6195 |
| 101 and 64 | 6464 |
| 180 and 67 | 12060 |
| 169 and 68 | 11492 |
| 107 and 51 | 5457 |