Least Common Multiple (LCM) of 177 and 117
The least common multiple (LCM) of 177 and 117 is 6903.
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 117?
First, calculate the GCD of 177 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 117 = 1 remainder 60 |
| 2 | 117 ÷ 60 = 1 remainder 57 |
| 3 | 60 ÷ 57 = 1 remainder 3 |
| 4 | 57 ÷ 3 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 174 | 30102 |
| 77 and 39 | 3003 |
| 192 and 22 | 2112 |
| 123 and 83 | 10209 |
| 26 and 60 | 780 |