Least Common Multiple (LCM) of 177 and 187
The least common multiple (LCM) of 177 and 187 is 33099.
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 187?
First, calculate the GCD of 177 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 187 = 0 remainder 177 |
| 2 | 187 ÷ 177 = 1 remainder 10 |
| 3 | 177 ÷ 10 = 17 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 61 | 5551 |
| 41 and 66 | 2706 |
| 184 and 40 | 920 |
| 123 and 60 | 2460 |
| 159 and 67 | 10653 |