Least Common Multiple (LCM) of 122 and 56
The least common multiple (LCM) of 122 and 56 is 3416.
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 56?
First, calculate the GCD of 122 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 56 = 2 remainder 10 |
| 2 | 56 ÷ 10 = 5 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 88 | 440 |
| 162 and 66 | 1782 |
| 100 and 62 | 3100 |
| 194 and 181 | 35114 |
| 113 and 148 | 16724 |