Least Common Multiple (LCM) of 122 and 150
The least common multiple (LCM) of 122 and 150 is 9150.
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 122 and 150?
First, calculate the GCD of 122 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 150 = 0 remainder 122 |
| 2 | 150 ÷ 122 = 1 remainder 28 |
| 3 | 122 ÷ 28 = 4 remainder 10 |
| 4 | 28 ÷ 10 = 2 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 152 | 27208 |
| 54 and 172 | 4644 |
| 117 and 123 | 4797 |
| 78 and 61 | 4758 |
| 14 and 121 | 1694 |