Least Common Multiple (LCM) of 129 and 148
The least common multiple (LCM) of 129 and 148 is 19092.
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 148?
First, calculate the GCD of 129 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 148 = 0 remainder 129 |
| 2 | 148 ÷ 129 = 1 remainder 19 |
| 3 | 129 ÷ 19 = 6 remainder 15 |
| 4 | 19 ÷ 15 = 1 remainder 4 |
| 5 | 15 ÷ 4 = 3 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 66 | 462 |
| 119 and 43 | 5117 |
| 186 and 65 | 12090 |
| 129 and 53 | 6837 |
| 136 and 138 | 9384 |