Least Common Multiple (LCM) of 177 and 93
The least common multiple (LCM) of 177 and 93 is 5487.
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 93?
First, calculate the GCD of 177 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 93 = 1 remainder 84 |
| 2 | 93 ÷ 84 = 1 remainder 9 |
| 3 | 84 ÷ 9 = 9 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 97 | 3686 |
| 186 and 182 | 16926 |
| 105 and 24 | 840 |
| 67 and 133 | 8911 |
| 167 and 61 | 10187 |