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 |
|---|---|
| 75 and 125 | 375 |
| 166 and 34 | 2822 |
| 44 and 141 | 6204 |
| 106 and 41 | 4346 |
| 72 and 167 | 12024 |