Least Common Multiple (LCM) of 155 and 33
The least common multiple (LCM) of 155 and 33 is 5115.
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 33?
First, calculate the GCD of 155 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 33 = 4 remainder 23 |
| 2 | 33 ÷ 23 = 1 remainder 10 |
| 3 | 23 ÷ 10 = 2 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 177 | 26373 |
| 135 and 47 | 6345 |
| 172 and 161 | 27692 |
| 157 and 90 | 14130 |
| 82 and 68 | 2788 |