Least Common Multiple (LCM) of 161 and 125
The least common multiple (LCM) of 161 and 125 is 20125.
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 161 and 125?
First, calculate the GCD of 161 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 125 = 1 remainder 36 |
| 2 | 125 ÷ 36 = 3 remainder 17 |
| 3 | 36 ÷ 17 = 2 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 121 | 15609 |
| 104 and 133 | 13832 |
| 161 and 199 | 32039 |
| 107 and 81 | 8667 |
| 110 and 78 | 4290 |