Least Common Multiple (LCM) of 22 and 158
The least common multiple (LCM) of 22 and 158 is 1738.
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 158?
First, calculate the GCD of 22 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 158 = 0 remainder 22 |
| 2 | 158 ÷ 22 = 7 remainder 4 |
| 3 | 22 ÷ 4 = 5 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 24 | 600 |
| 11 and 58 | 638 |
| 48 and 87 | 1392 |
| 189 and 36 | 756 |
| 151 and 73 | 11023 |