Least Common Multiple (LCM) of 166 and 138
The least common multiple (LCM) of 166 and 138 is 11454.
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 138?
First, calculate the GCD of 166 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 138 = 1 remainder 28 |
| 2 | 138 ÷ 28 = 4 remainder 26 |
| 3 | 28 ÷ 26 = 1 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 25 | 900 |
| 122 and 90 | 5490 |
| 65 and 168 | 10920 |
| 171 and 15 | 855 |
| 126 and 177 | 7434 |