Least Common Multiple (LCM) of 150 and 22
The least common multiple (LCM) of 150 and 22 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 150 and 22?
First, calculate the GCD of 150 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 22 = 6 remainder 18 |
| 2 | 22 ÷ 18 = 1 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 98 | 18130 |
| 154 and 169 | 26026 |
| 165 and 103 | 16995 |
| 177 and 174 | 10266 |
| 194 and 101 | 19594 |