Least Common Multiple (LCM) of 21 and 166
The least common multiple (LCM) of 21 and 166 is 3486.
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 21 and 166?
First, calculate the GCD of 21 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 21 ÷ 166 = 0 remainder 21 |
| 2 | 166 ÷ 21 = 7 remainder 19 |
| 3 | 21 ÷ 19 = 1 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 131 | 19126 |
| 12 and 96 | 96 |
| 193 and 62 | 11966 |
| 35 and 161 | 805 |
| 92 and 35 | 3220 |