Least Common Multiple (LCM) of 131 and 137
The least common multiple (LCM) of 131 and 137 is 17947.
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 137?
First, calculate the GCD of 131 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 137 = 0 remainder 131 |
| 2 | 137 ÷ 131 = 1 remainder 6 |
| 3 | 131 ÷ 6 = 21 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 65 | 6955 |
| 42 and 88 | 1848 |
| 145 and 143 | 20735 |
| 138 and 37 | 5106 |
| 100 and 69 | 6900 |