Least Common Multiple (LCM) of 131 and 155
The least common multiple (LCM) of 131 and 155 is 20305.
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 131 and 155?
First, calculate the GCD of 131 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 155 = 0 remainder 131 |
| 2 | 155 ÷ 131 = 1 remainder 24 |
| 3 | 131 ÷ 24 = 5 remainder 11 |
| 4 | 24 ÷ 11 = 2 remainder 2 |
| 5 | 11 ÷ 2 = 5 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 99 | 2871 |
| 107 and 64 | 6848 |
| 74 and 179 | 13246 |
| 156 and 74 | 5772 |
| 77 and 106 | 8162 |