Least Common Multiple (LCM) of 183 and 154
The least common multiple (LCM) of 183 and 154 is 28182.
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 154?
First, calculate the GCD of 183 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 154 = 1 remainder 29 |
| 2 | 154 ÷ 29 = 5 remainder 9 |
| 3 | 29 ÷ 9 = 3 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 100 | 4600 |
| 13 and 75 | 975 |
| 177 and 78 | 4602 |
| 131 and 31 | 4061 |
| 192 and 163 | 31296 |