Least Common Multiple (LCM) of 110 and 160
The least common multiple (LCM) of 110 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 110 and 160?
First, calculate the GCD of 110 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 160 = 0 remainder 110 |
| 2 | 160 ÷ 110 = 1 remainder 50 |
| 3 | 110 ÷ 50 = 2 remainder 10 |
| 4 | 50 ÷ 10 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 135 | 540 |
| 83 and 82 | 6806 |
| 178 and 134 | 11926 |
| 45 and 113 | 5085 |
| 143 and 139 | 19877 |