Least Common Multiple (LCM) of 170 and 135
The least common multiple (LCM) of 170 and 135 is 4590.
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 135?
First, calculate the GCD of 170 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 135 = 1 remainder 35 |
| 2 | 135 ÷ 35 = 3 remainder 30 |
| 3 | 35 ÷ 30 = 1 remainder 5 |
| 4 | 30 ÷ 5 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 181 | 13756 |
| 177 and 94 | 16638 |
| 103 and 117 | 12051 |
| 73 and 189 | 13797 |
| 92 and 106 | 4876 |