Least Common Multiple (LCM) of 129 and 166
The least common multiple (LCM) of 129 and 166 is 21414.
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 166?
First, calculate the GCD of 129 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 166 = 0 remainder 129 |
| 2 | 166 ÷ 129 = 1 remainder 37 |
| 3 | 129 ÷ 37 = 3 remainder 18 |
| 4 | 37 ÷ 18 = 2 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 53 | 2915 |
| 142 and 52 | 3692 |
| 47 and 89 | 4183 |
| 192 and 45 | 2880 |
| 146 and 28 | 2044 |