Least Common Multiple (LCM) of 142 and 69
The least common multiple (LCM) of 142 and 69 is 9798.
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 69?
First, calculate the GCD of 142 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 69 = 2 remainder 4 |
| 2 | 69 ÷ 4 = 17 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 11 | 1166 |
| 144 and 39 | 1872 |
| 17 and 112 | 1904 |
| 182 and 128 | 11648 |
| 74 and 92 | 3404 |