Least Common Multiple (LCM) of 39 and 166
The least common multiple (LCM) of 39 and 166 is 6474.
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 39 and 166?
First, calculate the GCD of 39 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 166 = 0 remainder 39 |
| 2 | 166 ÷ 39 = 4 remainder 10 |
| 3 | 39 ÷ 10 = 3 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 104 | 10296 |
| 23 and 193 | 4439 |
| 76 and 111 | 8436 |
| 109 and 142 | 15478 |
| 189 and 54 | 378 |