Least Common Multiple (LCM) of 141 and 112
The least common multiple (LCM) of 141 and 112 is 15792.
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 141 and 112?
First, calculate the GCD of 141 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 112 = 1 remainder 29 |
| 2 | 112 ÷ 29 = 3 remainder 25 |
| 3 | 29 ÷ 25 = 1 remainder 4 |
| 4 | 25 ÷ 4 = 6 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 65 | 780 |
| 19 and 19 | 19 |
| 58 and 34 | 986 |
| 116 and 14 | 812 |
| 62 and 126 | 3906 |