Least Common Multiple (LCM) of 108 and 22
The least common multiple (LCM) of 108 and 22 is 1188.
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 108 and 22?
First, calculate the GCD of 108 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 22 = 4 remainder 20 |
| 2 | 22 ÷ 20 = 1 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 120 | 4920 |
| 50 and 63 | 3150 |
| 83 and 18 | 1494 |
| 192 and 62 | 5952 |
| 75 and 25 | 75 |