Least Common Multiple (LCM) of 125 and 185
The least common multiple (LCM) of 125 and 185 is 4625.
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 125 and 185?
First, calculate the GCD of 125 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 185 = 0 remainder 125 |
| 2 | 185 ÷ 125 = 1 remainder 60 |
| 3 | 125 ÷ 60 = 2 remainder 5 |
| 4 | 60 ÷ 5 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 25 | 2300 |
| 144 and 89 | 12816 |
| 44 and 51 | 2244 |
| 122 and 62 | 3782 |
| 158 and 173 | 27334 |