Least Common Multiple (LCM) of 11 and 160
The least common multiple (LCM) of 11 and 160 is 1760.
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 11 and 160?
First, calculate the GCD of 11 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 160 = 0 remainder 11 |
| 2 | 160 ÷ 11 = 14 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 83 | 13446 |
| 97 and 82 | 7954 |
| 32 and 196 | 1568 |
| 154 and 55 | 770 |
| 93 and 151 | 14043 |