Least Common Multiple (LCM) of 111 and 129
The least common multiple (LCM) of 111 and 129 is 4773.
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 111 and 129?
First, calculate the GCD of 111 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 129 = 0 remainder 111 |
| 2 | 129 ÷ 111 = 1 remainder 18 |
| 3 | 111 ÷ 18 = 6 remainder 3 |
| 4 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 195 | 2145 |
| 153 and 83 | 12699 |
| 99 and 98 | 9702 |
| 33 and 80 | 2640 |
| 185 and 29 | 5365 |