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 |
|---|---|
| 101 and 12 | 1212 |
| 194 and 156 | 15132 |
| 152 and 43 | 6536 |
| 183 and 200 | 36600 |
| 179 and 34 | 6086 |