Least Common Multiple (LCM) of 122 and 108
The least common multiple (LCM) of 122 and 108 is 6588.
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 108?
First, calculate the GCD of 122 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 108 = 1 remainder 14 |
| 2 | 108 ÷ 14 = 7 remainder 10 |
| 3 | 14 ÷ 10 = 1 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 15 | 1245 |
| 100 and 98 | 4900 |
| 18 and 178 | 1602 |
| 57 and 157 | 8949 |
| 91 and 52 | 364 |