Least Common Multiple (LCM) of 122 and 96
The least common multiple (LCM) of 122 and 96 is 5856.
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 96?
First, calculate the GCD of 122 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 96 = 1 remainder 26 |
| 2 | 96 ÷ 26 = 3 remainder 18 |
| 3 | 26 ÷ 18 = 1 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 121 | 23474 |
| 80 and 147 | 11760 |
| 127 and 184 | 23368 |
| 73 and 31 | 2263 |
| 84 and 30 | 420 |