Least Common Multiple (LCM) of 146 and 163
The least common multiple (LCM) of 146 and 163 is 23798.
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 163?
First, calculate the GCD of 146 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 163 = 0 remainder 146 |
| 2 | 163 ÷ 146 = 1 remainder 17 |
| 3 | 146 ÷ 17 = 8 remainder 10 |
| 4 | 17 ÷ 10 = 1 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 58 | 8642 |
| 138 and 161 | 966 |
| 146 and 29 | 4234 |
| 52 and 112 | 1456 |
| 65 and 30 | 390 |