Least Common Multiple (LCM) of 170 and 34
The least common multiple (LCM) of 170 and 34 is 170.
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 34?
First, calculate the GCD of 170 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 34 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 46 | 966 |
| 155 and 112 | 17360 |
| 110 and 183 | 20130 |
| 163 and 182 | 29666 |
| 39 and 176 | 6864 |