Least Common Multiple (LCM) of 154 and 129
The least common multiple (LCM) of 154 and 129 is 19866.
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 154 and 129?
First, calculate the GCD of 154 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 129 = 1 remainder 25 |
| 2 | 129 ÷ 25 = 5 remainder 4 |
| 3 | 25 ÷ 4 = 6 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 14 | 1834 |
| 76 and 30 | 1140 |
| 45 and 108 | 540 |
| 48 and 186 | 1488 |
| 29 and 102 | 2958 |