Least Common Multiple (LCM) of 129 and 145
The least common multiple (LCM) of 129 and 145 is 18705.
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 145?
First, calculate the GCD of 129 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 145 = 0 remainder 129 |
| 2 | 145 ÷ 129 = 1 remainder 16 |
| 3 | 129 ÷ 16 = 8 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 38 | 2128 |
| 150 and 179 | 26850 |
| 40 and 133 | 5320 |
| 18 and 69 | 414 |
| 85 and 92 | 7820 |