Least Common Multiple (LCM) of 166 and 39
The least common multiple (LCM) of 166 and 39 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 166 and 39?
First, calculate the GCD of 166 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 39 = 4 remainder 10 |
| 2 | 39 ÷ 10 = 3 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 31 | 2263 |
| 69 and 195 | 4485 |
| 97 and 108 | 10476 |
| 103 and 135 | 13905 |
| 141 and 106 | 14946 |