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 |
|---|---|
| 20 and 86 | 860 |
| 198 and 49 | 9702 |
| 118 and 94 | 5546 |
| 181 and 180 | 32580 |
| 91 and 121 | 11011 |