Least Common Multiple (LCM) of 20 and 22
The least common multiple (LCM) of 20 and 22 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 20 and 22?
First, calculate the GCD of 20 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 22 = 0 remainder 20 |
| 2 | 22 ÷ 20 = 1 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 41 | 4305 |
| 62 and 194 | 6014 |
| 173 and 191 | 33043 |
| 112 and 136 | 1904 |
| 117 and 62 | 7254 |