Least Common Multiple (LCM) of 142 and 129
The least common multiple (LCM) of 142 and 129 is 18318.
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 142 and 129?
First, calculate the GCD of 142 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 129 = 1 remainder 13 |
| 2 | 129 ÷ 13 = 9 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 15 | 1680 |
| 124 and 108 | 3348 |
| 133 and 157 | 20881 |
| 104 and 12 | 312 |
| 63 and 192 | 4032 |