Least Common Multiple (LCM) of 160 and 81
The least common multiple (LCM) of 160 and 81 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 160 and 81?
First, calculate the GCD of 160 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 81 = 1 remainder 79 |
| 2 | 81 ÷ 79 = 1 remainder 2 |
| 3 | 79 ÷ 2 = 39 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 62 | 3162 |
| 76 and 97 | 7372 |
| 178 and 199 | 35422 |
| 149 and 165 | 24585 |
| 58 and 73 | 4234 |