Least Common Multiple (LCM) of 131 and 38
The least common multiple (LCM) of 131 and 38 is 4978.
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 38?
First, calculate the GCD of 131 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 38 = 3 remainder 17 |
| 2 | 38 ÷ 17 = 2 remainder 4 |
| 3 | 17 ÷ 4 = 4 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 35 | 1085 |
| 190 and 106 | 10070 |
| 169 and 14 | 2366 |
| 108 and 39 | 1404 |
| 142 and 162 | 11502 |