Least Common Multiple (LCM) of 177 and 125
The least common multiple (LCM) of 177 and 125 is 22125.
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 177 and 125?
First, calculate the GCD of 177 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 125 = 1 remainder 52 |
| 2 | 125 ÷ 52 = 2 remainder 21 |
| 3 | 52 ÷ 21 = 2 remainder 10 |
| 4 | 21 ÷ 10 = 2 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 159 | 17013 |
| 126 and 82 | 5166 |
| 154 and 86 | 6622 |
| 191 and 111 | 21201 |
| 132 and 79 | 10428 |