Least Common Multiple (LCM) of 155 and 133
The least common multiple (LCM) of 155 and 133 is 20615.
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 133?
First, calculate the GCD of 155 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 133 = 1 remainder 22 |
| 2 | 133 ÷ 22 = 6 remainder 1 |
| 3 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 126 | 12978 |
| 122 and 21 | 2562 |
| 163 and 172 | 28036 |
| 180 and 52 | 2340 |
| 25 and 81 | 2025 |