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 |
|---|---|
| 135 and 77 | 10395 |
| 36 and 35 | 1260 |
| 119 and 163 | 19397 |
| 175 and 72 | 12600 |
| 51 and 11 | 561 |