Least Common Multiple (LCM) of 129 and 66
The least common multiple (LCM) of 129 and 66 is 2838.
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 129 and 66?
First, calculate the GCD of 129 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 66 = 1 remainder 63 |
| 2 | 66 ÷ 63 = 1 remainder 3 |
| 3 | 63 ÷ 3 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 108 | 108 |
| 118 and 79 | 9322 |
| 116 and 60 | 1740 |
| 28 and 104 | 728 |
| 160 and 116 | 4640 |