Least Common Multiple (LCM) of 165 and 125
The least common multiple (LCM) of 165 and 125 is 4125.
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 165 and 125?
First, calculate the GCD of 165 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 125 = 1 remainder 40 |
| 2 | 125 ÷ 40 = 3 remainder 5 |
| 3 | 40 ÷ 5 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 172 | 14964 |
| 132 and 92 | 3036 |
| 41 and 107 | 4387 |
| 148 and 156 | 5772 |
| 46 and 155 | 7130 |