Least Common Multiple (LCM) of 110 and 20
The least common multiple (LCM) of 110 and 20 is 220.
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 20?
First, calculate the GCD of 110 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 20 = 5 remainder 10 |
| 2 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 31 | 1302 |
| 175 and 181 | 31675 |
| 185 and 137 | 25345 |
| 139 and 40 | 5560 |
| 105 and 26 | 2730 |