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 |
|---|---|
| 23 and 101 | 2323 |
| 195 and 191 | 37245 |
| 122 and 85 | 10370 |
| 166 and 180 | 14940 |
| 126 and 170 | 10710 |