Least Common Multiple (LCM) of 81 and 160
The least common multiple (LCM) of 81 and 160 is 12960.
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 81 and 160?
First, calculate the GCD of 81 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 160 = 0 remainder 81 |
| 2 | 160 ÷ 81 = 1 remainder 79 |
| 3 | 81 ÷ 79 = 1 remainder 2 |
| 4 | 79 ÷ 2 = 39 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 155 | 2480 |
| 122 and 145 | 17690 |
| 175 and 77 | 1925 |
| 175 and 45 | 1575 |
| 40 and 96 | 480 |