Least Common Multiple (LCM) of 22 and 150
The least common multiple (LCM) of 22 and 150 is 1650.
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 150?
First, calculate the GCD of 22 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 150 = 0 remainder 22 |
| 2 | 150 ÷ 22 = 6 remainder 18 |
| 3 | 22 ÷ 18 = 1 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 35 | 1295 |
| 157 and 89 | 13973 |
| 158 and 13 | 2054 |
| 75 and 167 | 12525 |
| 68 and 133 | 9044 |