Least Common Multiple (LCM) of 158 and 129
The least common multiple (LCM) of 158 and 129 is 20382.
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 158 and 129?
First, calculate the GCD of 158 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 129 = 1 remainder 29 |
| 2 | 129 ÷ 29 = 4 remainder 13 |
| 3 | 29 ÷ 13 = 2 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 144 | 2448 |
| 157 and 164 | 25748 |
| 114 and 171 | 342 |
| 96 and 35 | 3360 |
| 57 and 37 | 2109 |