Least Common Multiple (LCM) of 200 and 160
The least common multiple (LCM) of 200 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 200 and 160?
First, calculate the GCD of 200 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 160 = 1 remainder 40 |
| 2 | 160 ÷ 40 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 14 | 1918 |
| 78 and 148 | 5772 |
| 160 and 189 | 30240 |
| 83 and 30 | 2490 |
| 194 and 104 | 10088 |