Least Common Multiple (LCM) of 166 and 200
The least common multiple (LCM) of 166 and 200 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 166 and 200?
First, calculate the GCD of 166 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 200 = 0 remainder 166 |
| 2 | 200 ÷ 166 = 1 remainder 34 |
| 3 | 166 ÷ 34 = 4 remainder 30 |
| 4 | 34 ÷ 30 = 1 remainder 4 |
| 5 | 30 ÷ 4 = 7 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 41 | 4141 |
| 138 and 117 | 5382 |
| 132 and 159 | 6996 |
| 146 and 62 | 4526 |
| 92 and 152 | 3496 |