Least Common Multiple (LCM) of 200 and 162
The least common multiple (LCM) of 200 and 162 is 16200.
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 162?
First, calculate the GCD of 200 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 162 = 1 remainder 38 |
| 2 | 162 ÷ 38 = 4 remainder 10 |
| 3 | 38 ÷ 10 = 3 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 35 | 5810 |
| 162 and 109 | 17658 |
| 31 and 104 | 3224 |
| 165 and 75 | 825 |
| 37 and 127 | 4699 |