Least Common Multiple (LCM) of 142 and 138
The least common multiple (LCM) of 142 and 138 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 138?
First, calculate the GCD of 142 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 138 = 1 remainder 4 |
| 2 | 138 ÷ 4 = 34 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 29 | 1247 |
| 154 and 50 | 3850 |
| 156 and 75 | 3900 |
| 123 and 78 | 3198 |
| 105 and 49 | 735 |