Least Common Multiple (LCM) of 131 and 154
The least common multiple (LCM) of 131 and 154 is 20174.
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 154?
First, calculate the GCD of 131 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 154 = 0 remainder 131 |
| 2 | 154 ÷ 131 = 1 remainder 23 |
| 3 | 131 ÷ 23 = 5 remainder 16 |
| 4 | 23 ÷ 16 = 1 remainder 7 |
| 5 | 16 ÷ 7 = 2 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 112 | 10416 |
| 65 and 191 | 12415 |
| 179 and 15 | 2685 |
| 177 and 65 | 11505 |
| 166 and 33 | 5478 |