Least Common Multiple (LCM) of 187 and 131
The least common multiple (LCM) of 187 and 131 is 24497.
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 187 and 131?
First, calculate the GCD of 187 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 131 = 1 remainder 56 |
| 2 | 131 ÷ 56 = 2 remainder 19 |
| 3 | 56 ÷ 19 = 2 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 192 | 960 |
| 151 and 149 | 22499 |
| 39 and 71 | 2769 |
| 69 and 57 | 1311 |
| 108 and 68 | 1836 |