Least Common Multiple (LCM) of 154 and 183
The least common multiple (LCM) of 154 and 183 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 154 and 183?
First, calculate the GCD of 154 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 183 = 0 remainder 154 |
| 2 | 183 ÷ 154 = 1 remainder 29 |
| 3 | 154 ÷ 29 = 5 remainder 9 |
| 4 | 29 ÷ 9 = 3 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 127 | 22479 |
| 199 and 38 | 7562 |
| 128 and 55 | 7040 |
| 20 and 31 | 620 |
| 160 and 27 | 4320 |