Least Common Multiple (LCM) of 177 and 25
The least common multiple (LCM) of 177 and 25 is 4425.
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 25?
First, calculate the GCD of 177 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 25 = 7 remainder 2 |
| 2 | 25 ÷ 2 = 12 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 89 | 12905 |
| 127 and 171 | 21717 |
| 129 and 72 | 3096 |
| 160 and 69 | 11040 |
| 184 and 188 | 8648 |