Least Common Multiple (LCM) of 146 and 112
The least common multiple (LCM) of 146 and 112 is 8176.
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 146 and 112?
First, calculate the GCD of 146 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 112 = 1 remainder 34 |
| 2 | 112 ÷ 34 = 3 remainder 10 |
| 3 | 34 ÷ 10 = 3 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 54 | 1998 |
| 113 and 162 | 18306 |
| 124 and 173 | 21452 |
| 143 and 179 | 25597 |
| 25 and 138 | 3450 |