Least Common Multiple (LCM) of 33 and 121
The least common multiple (LCM) of 33 and 121 is 363.
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 33 and 121?
First, calculate the GCD of 33 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 121 = 0 remainder 33 |
| 2 | 121 ÷ 33 = 3 remainder 22 |
| 3 | 33 ÷ 22 = 1 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 60 | 4020 |
| 200 and 38 | 3800 |
| 166 and 146 | 12118 |
| 58 and 30 | 870 |
| 77 and 83 | 6391 |