Least Common Multiple (LCM) of 142 and 38
The least common multiple (LCM) of 142 and 38 is 2698.
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 38?
First, calculate the GCD of 142 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 38 = 3 remainder 28 |
| 2 | 38 ÷ 28 = 1 remainder 10 |
| 3 | 28 ÷ 10 = 2 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 99 | 9009 |
| 176 and 168 | 3696 |
| 174 and 76 | 6612 |
| 19 and 121 | 2299 |
| 103 and 148 | 15244 |