Least Common Multiple (LCM) of 73 and 129
The least common multiple (LCM) of 73 and 129 is 9417.
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 73 and 129?
First, calculate the GCD of 73 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 129 = 0 remainder 73 |
| 2 | 129 ÷ 73 = 1 remainder 56 |
| 3 | 73 ÷ 56 = 1 remainder 17 |
| 4 | 56 ÷ 17 = 3 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 113 | 14464 |
| 33 and 134 | 4422 |
| 66 and 35 | 2310 |
| 137 and 18 | 2466 |
| 155 and 80 | 2480 |