Least Common Multiple (LCM) of 113 and 129
The least common multiple (LCM) of 113 and 129 is 14577.
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 113 and 129?
First, calculate the GCD of 113 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 129 = 0 remainder 113 |
| 2 | 129 ÷ 113 = 1 remainder 16 |
| 3 | 113 ÷ 16 = 7 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 75 | 10425 |
| 184 and 13 | 2392 |
| 17 and 18 | 306 |
| 153 and 77 | 11781 |
| 111 and 87 | 3219 |