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 |
|---|---|
| 173 and 111 | 19203 |
| 74 and 52 | 1924 |
| 100 and 14 | 700 |
| 37 and 98 | 3626 |
| 197 and 200 | 39400 |