Least Common Multiple (LCM) of 183 and 171
The least common multiple (LCM) of 183 and 171 is 10431.
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 171?
First, calculate the GCD of 183 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 171 = 1 remainder 12 |
| 2 | 171 ÷ 12 = 14 remainder 3 |
| 3 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 16 | 1040 |
| 89 and 118 | 10502 |
| 158 and 144 | 11376 |
| 154 and 140 | 1540 |
| 16 and 155 | 2480 |