Least Common Multiple (LCM) of 166 and 100
The least common multiple (LCM) of 166 and 100 is 8300.
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 100?
First, calculate the GCD of 166 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 100 = 1 remainder 66 |
| 2 | 100 ÷ 66 = 1 remainder 34 |
| 3 | 66 ÷ 34 = 1 remainder 32 |
| 4 | 34 ÷ 32 = 1 remainder 2 |
| 5 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 94 | 14006 |
| 176 and 171 | 30096 |
| 200 and 63 | 12600 |
| 25 and 102 | 2550 |
| 66 and 95 | 6270 |