Least Common Multiple (LCM) of 121 and 155
The least common multiple (LCM) of 121 and 155 is 18755.
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 121 and 155?
First, calculate the GCD of 121 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 155 = 0 remainder 121 |
| 2 | 155 ÷ 121 = 1 remainder 34 |
| 3 | 121 ÷ 34 = 3 remainder 19 |
| 4 | 34 ÷ 19 = 1 remainder 15 |
| 5 | 19 ÷ 15 = 1 remainder 4 |
| 6 | 15 ÷ 4 = 3 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 90 | 9810 |
| 161 and 85 | 13685 |
| 109 and 58 | 6322 |
| 189 and 105 | 945 |
| 91 and 163 | 14833 |