Least Common Multiple (LCM) of 85 and 125
The least common multiple (LCM) of 85 and 125 is 2125.
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 85 and 125?
First, calculate the GCD of 85 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 125 = 0 remainder 85 |
| 2 | 125 ÷ 85 = 1 remainder 40 |
| 3 | 85 ÷ 40 = 2 remainder 5 |
| 4 | 40 ÷ 5 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 196 | 11956 |
| 23 and 59 | 1357 |
| 54 and 41 | 2214 |
| 38 and 75 | 2850 |
| 161 and 14 | 322 |