Least Common Multiple (LCM) of 122 and 155
The least common multiple (LCM) of 122 and 155 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 122 and 155?
First, calculate the GCD of 122 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 155 = 0 remainder 122 |
| 2 | 155 ÷ 122 = 1 remainder 33 |
| 3 | 122 ÷ 33 = 3 remainder 23 |
| 4 | 33 ÷ 23 = 1 remainder 10 |
| 5 | 23 ÷ 10 = 2 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 81 | 16200 |
| 112 and 184 | 2576 |
| 77 and 142 | 10934 |
| 90 and 70 | 630 |
| 163 and 157 | 25591 |