Least Common Multiple (LCM) of 131 and 37
The least common multiple (LCM) of 131 and 37 is 4847.
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 37?
First, calculate the GCD of 131 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 37 = 3 remainder 20 |
| 2 | 37 ÷ 20 = 1 remainder 17 |
| 3 | 20 ÷ 17 = 1 remainder 3 |
| 4 | 17 ÷ 3 = 5 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 130 | 25870 |
| 151 and 148 | 22348 |
| 153 and 101 | 15453 |
| 181 and 89 | 16109 |
| 113 and 35 | 3955 |