Least Common Multiple (LCM) of 24 and 22
The least common multiple (LCM) of 24 and 22 is 264.
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 24 and 22?
First, calculate the GCD of 24 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 22 = 1 remainder 2 |
| 2 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 169 | 1521 |
| 88 and 49 | 4312 |
| 11 and 45 | 495 |
| 98 and 117 | 11466 |
| 191 and 77 | 14707 |