Least Common Multiple (LCM) of 50 and 160
The least common multiple (LCM) of 50 and 160 is 800.
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 160?
First, calculate the GCD of 50 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 160 = 0 remainder 50 |
| 2 | 160 ÷ 50 = 3 remainder 10 |
| 3 | 50 ÷ 10 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 125 | 750 |
| 180 and 69 | 4140 |
| 83 and 125 | 10375 |
| 189 and 28 | 756 |
| 24 and 73 | 1752 |