Least Common Multiple (LCM) of 138 and 142
The least common multiple (LCM) of 138 and 142 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 138 and 142?
First, calculate the GCD of 138 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 142 = 0 remainder 138 |
| 2 | 142 ÷ 138 = 1 remainder 4 |
| 3 | 138 ÷ 4 = 34 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 194 | 25026 |
| 24 and 14 | 168 |
| 172 and 191 | 32852 |
| 63 and 147 | 441 |
| 164 and 61 | 10004 |