Least Common Multiple (LCM) of 22 and 196
The least common multiple (LCM) of 22 and 196 is 2156.
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 196?
First, calculate the GCD of 22 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 196 = 0 remainder 22 |
| 2 | 196 ÷ 22 = 8 remainder 20 |
| 3 | 22 ÷ 20 = 1 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 117 | 16965 |
| 175 and 35 | 175 |
| 106 and 87 | 9222 |
| 182 and 182 | 182 |
| 188 and 31 | 5828 |