Least Common Multiple (LCM) of 34 and 170
The least common multiple (LCM) of 34 and 170 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 34 and 170?
First, calculate the GCD of 34 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 34 ÷ 170 = 0 remainder 34 |
| 2 | 170 ÷ 34 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 102 | 4386 |
| 138 and 174 | 4002 |
| 56 and 164 | 2296 |
| 26 and 71 | 1846 |
| 163 and 12 | 1956 |