Least Common Multiple (LCM) of 131 and 187
The least common multiple (LCM) of 131 and 187 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 131 and 187?
First, calculate the GCD of 131 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 187 = 0 remainder 131 |
| 2 | 187 ÷ 131 = 1 remainder 56 |
| 3 | 131 ÷ 56 = 2 remainder 19 |
| 4 | 56 ÷ 19 = 2 remainder 18 |
| 5 | 19 ÷ 18 = 1 remainder 1 |
| 6 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 45 | 7785 |
| 37 and 138 | 5106 |
| 111 and 39 | 1443 |
| 114 and 161 | 18354 |
| 100 and 117 | 11700 |