Least Common Multiple (LCM) of 161 and 146
The least common multiple (LCM) of 161 and 146 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 161 and 146?
First, calculate the GCD of 161 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 146 = 1 remainder 15 |
| 2 | 146 ÷ 15 = 9 remainder 11 |
| 3 | 15 ÷ 11 = 1 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 193 | 17563 |
| 89 and 51 | 4539 |
| 162 and 169 | 27378 |
| 142 and 171 | 24282 |
| 122 and 114 | 6954 |