Least Common Multiple (LCM) of 133 and 155
The least common multiple (LCM) of 133 and 155 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 133 and 155?
First, calculate the GCD of 133 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 155 = 0 remainder 133 |
| 2 | 155 ÷ 133 = 1 remainder 22 |
| 3 | 133 ÷ 22 = 6 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 148 | 21460 |
| 103 and 119 | 12257 |
| 78 and 107 | 8346 |
| 155 and 104 | 16120 |
| 40 and 35 | 280 |