Least Common Multiple (LCM) of 122 and 44
The least common multiple (LCM) of 122 and 44 is 2684.
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 44?
First, calculate the GCD of 122 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 44 = 2 remainder 34 |
| 2 | 44 ÷ 34 = 1 remainder 10 |
| 3 | 34 ÷ 10 = 3 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 175 | 27650 |
| 27 and 37 | 999 |
| 10 and 100 | 100 |
| 147 and 141 | 6909 |
| 60 and 17 | 1020 |