Least Common Multiple (LCM) of 184 and 158
The least common multiple (LCM) of 184 and 158 is 14536.
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 184 and 158?
First, calculate the GCD of 184 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 158 = 1 remainder 26 |
| 2 | 158 ÷ 26 = 6 remainder 2 |
| 3 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 189 | 7749 |
| 40 and 105 | 840 |
| 159 and 105 | 5565 |
| 18 and 103 | 1854 |
| 121 and 105 | 12705 |