Least Common Multiple (LCM) of 131 and 156
The least common multiple (LCM) of 131 and 156 is 20436.
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 156?
First, calculate the GCD of 131 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 156 = 0 remainder 131 |
| 2 | 156 ÷ 131 = 1 remainder 25 |
| 3 | 131 ÷ 25 = 5 remainder 6 |
| 4 | 25 ÷ 6 = 4 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 166 | 8798 |
| 126 and 42 | 126 |
| 14 and 169 | 2366 |
| 59 and 14 | 826 |
| 20 and 120 | 120 |