Least Common Multiple (LCM) of 165 and 126
The least common multiple (LCM) of 165 and 126 is 6930.
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 165 and 126?
First, calculate the GCD of 165 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 126 = 1 remainder 39 |
| 2 | 126 ÷ 39 = 3 remainder 9 |
| 3 | 39 ÷ 9 = 4 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 28 | 4844 |
| 94 and 173 | 16262 |
| 177 and 63 | 3717 |
| 83 and 125 | 10375 |
| 122 and 54 | 3294 |