Least Common Multiple (LCM) of 22 and 96
The least common multiple (LCM) of 22 and 96 is 1056.
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 96?
First, calculate the GCD of 22 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 96 = 0 remainder 22 |
| 2 | 96 ÷ 22 = 4 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 77 | 9394 |
| 30 and 21 | 210 |
| 90 and 156 | 2340 |
| 195 and 57 | 3705 |
| 140 and 48 | 1680 |