Least Common Multiple (LCM) of 122 and 132
The least common multiple (LCM) of 122 and 132 is 8052.
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 132?
First, calculate the GCD of 122 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 132 = 0 remainder 122 |
| 2 | 132 ÷ 122 = 1 remainder 10 |
| 3 | 122 ÷ 10 = 12 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 188 | 6016 |
| 82 and 121 | 9922 |
| 171 and 119 | 20349 |
| 149 and 170 | 25330 |
| 97 and 113 | 10961 |