Least Common Multiple (LCM) of 44 and 122
The least common multiple (LCM) of 44 and 122 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 44 and 122?
First, calculate the GCD of 44 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 122 = 0 remainder 44 |
| 2 | 122 ÷ 44 = 2 remainder 34 |
| 3 | 44 ÷ 34 = 1 remainder 10 |
| 4 | 34 ÷ 10 = 3 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 120 | 21480 |
| 178 and 52 | 4628 |
| 85 and 87 | 7395 |
| 126 and 191 | 24066 |
| 188 and 136 | 6392 |