Least Common Multiple (LCM) of 129 and 58
The least common multiple (LCM) of 129 and 58 is 7482.
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 58?
First, calculate the GCD of 129 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 58 = 2 remainder 13 |
| 2 | 58 ÷ 13 = 4 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 51 | 1224 |
| 145 and 35 | 1015 |
| 74 and 30 | 1110 |
| 43 and 75 | 3225 |
| 90 and 189 | 1890 |