Least Common Multiple (LCM) of 155 and 122
The least common multiple (LCM) of 155 and 122 is 18910.
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 155 and 122?
First, calculate the GCD of 155 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 122 = 1 remainder 33 |
| 2 | 122 ÷ 33 = 3 remainder 23 |
| 3 | 33 ÷ 23 = 1 remainder 10 |
| 4 | 23 ÷ 10 = 2 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 12 | 660 |
| 177 and 45 | 2655 |
| 60 and 100 | 300 |
| 170 and 94 | 7990 |
| 28 and 144 | 1008 |