Least Common Multiple (LCM) of 129 and 155
The least common multiple (LCM) of 129 and 155 is 19995.
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 155?
First, calculate the GCD of 129 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 155 = 0 remainder 129 |
| 2 | 155 ÷ 129 = 1 remainder 26 |
| 3 | 129 ÷ 26 = 4 remainder 25 |
| 4 | 26 ÷ 25 = 1 remainder 1 |
| 5 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 85 | 9265 |
| 132 and 120 | 1320 |
| 178 and 57 | 10146 |
| 110 and 181 | 19910 |
| 53 and 52 | 2756 |