Least Common Multiple (LCM) of 161 and 144
The least common multiple (LCM) of 161 and 144 is 23184.
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 144?
First, calculate the GCD of 161 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 144 = 1 remainder 17 |
| 2 | 144 ÷ 17 = 8 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 80 | 3120 |
| 137 and 80 | 10960 |
| 111 and 83 | 9213 |
| 155 and 121 | 18755 |
| 129 and 27 | 1161 |