Least Common Multiple (LCM) of 129 and 48
The least common multiple (LCM) of 129 and 48 is 2064.
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 48?
First, calculate the GCD of 129 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 48 = 2 remainder 33 |
| 2 | 48 ÷ 33 = 1 remainder 15 |
| 3 | 33 ÷ 15 = 2 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 154 | 9394 |
| 178 and 55 | 9790 |
| 193 and 71 | 13703 |
| 194 and 21 | 4074 |
| 101 and 67 | 6767 |