Least Common Multiple (LCM) of 142 and 115
The least common multiple (LCM) of 142 and 115 is 16330.
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 115?
First, calculate the GCD of 142 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 115 = 1 remainder 27 |
| 2 | 115 ÷ 27 = 4 remainder 7 |
| 3 | 27 ÷ 7 = 3 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 179 | 26134 |
| 104 and 131 | 13624 |
| 85 and 15 | 255 |
| 113 and 65 | 7345 |
| 157 and 104 | 16328 |