Least Common Multiple (LCM) of 200 and 166
The least common multiple (LCM) of 200 and 166 is 16600.
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 166?
First, calculate the GCD of 200 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 166 = 1 remainder 34 |
| 2 | 166 ÷ 34 = 4 remainder 30 |
| 3 | 34 ÷ 30 = 1 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 41 | 2542 |
| 80 and 162 | 6480 |
| 22 and 82 | 902 |
| 117 and 74 | 8658 |
| 10 and 129 | 1290 |