Least Common Multiple (LCM) of 146 and 161
The least common multiple (LCM) of 146 and 161 is 23506.
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 161?
First, calculate the GCD of 146 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 161 = 0 remainder 146 |
| 2 | 161 ÷ 146 = 1 remainder 15 |
| 3 | 146 ÷ 15 = 9 remainder 11 |
| 4 | 15 ÷ 11 = 1 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 176 | 1232 |
| 172 and 107 | 18404 |
| 122 and 23 | 2806 |
| 121 and 112 | 13552 |
| 156 and 117 | 468 |