Least Common Multiple (LCM) of 50 and 170
The least common multiple (LCM) of 50 and 170 is 850.
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 50 and 170?
First, calculate the GCD of 50 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 170 = 0 remainder 50 |
| 2 | 170 ÷ 50 = 3 remainder 20 |
| 3 | 50 ÷ 20 = 2 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 131 | 15327 |
| 68 and 114 | 3876 |
| 92 and 179 | 16468 |
| 82 and 118 | 4838 |
| 80 and 109 | 8720 |