Least Common Multiple (LCM) of 112 and 141
The least common multiple (LCM) of 112 and 141 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 112 and 141?
First, calculate the GCD of 112 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 141 = 0 remainder 112 |
| 2 | 141 ÷ 112 = 1 remainder 29 |
| 3 | 112 ÷ 29 = 3 remainder 25 |
| 4 | 29 ÷ 25 = 1 remainder 4 |
| 5 | 25 ÷ 4 = 6 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 23 | 4186 |
| 49 and 99 | 4851 |
| 111 and 134 | 14874 |
| 43 and 46 | 1978 |
| 79 and 74 | 5846 |