Least Common Multiple (LCM) of 22 and 10
The least common multiple (LCM) of 22 and 10 is 110.
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 22 and 10?
First, calculate the GCD of 22 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 10 = 2 remainder 2 |
| 2 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 58 | 2552 |
| 183 and 117 | 7137 |
| 196 and 71 | 13916 |
| 82 and 73 | 5986 |
| 135 and 163 | 22005 |