Least Common Multiple (LCM) of 68 and 170
The least common multiple (LCM) of 68 and 170 is 340.
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 68 and 170?
First, calculate the GCD of 68 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 170 = 0 remainder 68 |
| 2 | 170 ÷ 68 = 2 remainder 34 |
| 3 | 68 ÷ 34 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 135 | 810 |
| 139 and 190 | 26410 |
| 147 and 88 | 12936 |
| 12 and 87 | 348 |
| 198 and 128 | 12672 |