Least Common Multiple (LCM) of 131 and 132
The least common multiple (LCM) of 131 and 132 is 17292.
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 132?
First, calculate the GCD of 131 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 132 = 0 remainder 131 |
| 2 | 132 ÷ 131 = 1 remainder 1 |
| 3 | 131 ÷ 1 = 131 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 116 | 1160 |
| 200 and 113 | 22600 |
| 180 and 79 | 14220 |
| 117 and 156 | 468 |
| 84 and 125 | 10500 |