Least Common Multiple (LCM) of 36 and 131
The least common multiple (LCM) of 36 and 131 is 4716.
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 36 and 131?
First, calculate the GCD of 36 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 131 = 0 remainder 36 |
| 2 | 131 ÷ 36 = 3 remainder 23 |
| 3 | 36 ÷ 23 = 1 remainder 13 |
| 4 | 23 ÷ 13 = 1 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 48 | 48 |
| 191 and 144 | 27504 |
| 86 and 39 | 3354 |
| 34 and 112 | 1904 |
| 127 and 192 | 24384 |