Least Common Multiple (LCM) of 31 and 125
The least common multiple (LCM) of 31 and 125 is 3875.
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 31 and 125?
First, calculate the GCD of 31 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 31 ÷ 125 = 0 remainder 31 |
| 2 | 125 ÷ 31 = 4 remainder 1 |
| 3 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 66 | 3432 |
| 193 and 53 | 10229 |
| 126 and 83 | 10458 |
| 191 and 121 | 23111 |
| 189 and 199 | 37611 |