Least Common Multiple (LCM) of 177 and 94
The least common multiple (LCM) of 177 and 94 is 16638.
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 94?
First, calculate the GCD of 177 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 94 = 1 remainder 83 |
| 2 | 94 ÷ 83 = 1 remainder 11 |
| 3 | 83 ÷ 11 = 7 remainder 6 |
| 4 | 11 ÷ 6 = 1 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 133 | 15295 |
| 79 and 125 | 9875 |
| 104 and 87 | 9048 |
| 101 and 10 | 1010 |
| 158 and 176 | 13904 |