Least Common Multiple (LCM) of 170 and 136
The least common multiple (LCM) of 170 and 136 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 170 and 136?
First, calculate the GCD of 170 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 136 = 1 remainder 34 |
| 2 | 136 ÷ 34 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 93 | 4650 |
| 17 and 67 | 1139 |
| 60 and 23 | 1380 |
| 180 and 103 | 18540 |
| 87 and 57 | 1653 |