Least Common Multiple (LCM) of 162 and 129
The least common multiple (LCM) of 162 and 129 is 6966.
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 162 and 129?
First, calculate the GCD of 162 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 129 = 1 remainder 33 |
| 2 | 129 ÷ 33 = 3 remainder 30 |
| 3 | 33 ÷ 30 = 1 remainder 3 |
| 4 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 22 | 4334 |
| 140 and 175 | 700 |
| 50 and 70 | 350 |
| 60 and 31 | 1860 |
| 116 and 17 | 1972 |