Least Common Multiple (LCM) of 183 and 177
The least common multiple (LCM) of 183 and 177 is 10797.
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 183 and 177?
First, calculate the GCD of 183 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 177 = 1 remainder 6 |
| 2 | 177 ÷ 6 = 29 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 155 | 12865 |
| 192 and 109 | 20928 |
| 126 and 174 | 3654 |
| 160 and 73 | 11680 |
| 143 and 57 | 8151 |