Least Common Multiple (LCM) of 41 and 125
The least common multiple (LCM) of 41 and 125 is 5125.
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 41 and 125?
First, calculate the GCD of 41 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 125 = 0 remainder 41 |
| 2 | 125 ÷ 41 = 3 remainder 2 |
| 3 | 41 ÷ 2 = 20 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 175 | 15225 |
| 150 and 55 | 1650 |
| 131 and 161 | 21091 |
| 140 and 84 | 420 |
| 101 and 155 | 15655 |