Least Common Multiple (LCM) of 129 and 44
The least common multiple (LCM) of 129 and 44 is 5676.
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 44?
First, calculate the GCD of 129 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 44 = 2 remainder 41 |
| 2 | 44 ÷ 41 = 1 remainder 3 |
| 3 | 41 ÷ 3 = 13 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 196 | 3136 |
| 146 and 124 | 9052 |
| 180 and 19 | 3420 |
| 156 and 118 | 9204 |
| 158 and 174 | 13746 |