Least Common Multiple (LCM) of 131 and 160
The least common multiple (LCM) of 131 and 160 is 20960.
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 131 and 160?
First, calculate the GCD of 131 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 160 = 0 remainder 131 |
| 2 | 160 ÷ 131 = 1 remainder 29 |
| 3 | 131 ÷ 29 = 4 remainder 15 |
| 4 | 29 ÷ 15 = 1 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 67 | 1541 |
| 72 and 40 | 360 |
| 39 and 84 | 1092 |
| 184 and 31 | 5704 |
| 171 and 146 | 24966 |