Least Common Multiple (LCM) of 129 and 51
The least common multiple (LCM) of 129 and 51 is 2193.
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 51?
First, calculate the GCD of 129 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 51 = 2 remainder 27 |
| 2 | 51 ÷ 27 = 1 remainder 24 |
| 3 | 27 ÷ 24 = 1 remainder 3 |
| 4 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 19 | 1596 |
| 163 and 31 | 5053 |
| 39 and 118 | 4602 |
| 109 and 165 | 17985 |
| 175 and 29 | 5075 |