Least Common Multiple (LCM) of 122 and 45
The least common multiple (LCM) of 122 and 45 is 5490.
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 45?
First, calculate the GCD of 122 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 45 = 2 remainder 32 |
| 2 | 45 ÷ 32 = 1 remainder 13 |
| 3 | 32 ÷ 13 = 2 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 108 | 1188 |
| 158 and 158 | 158 |
| 50 and 86 | 2150 |
| 35 and 20 | 140 |
| 183 and 146 | 26718 |