Least Common Multiple (LCM) of 158 and 183
The least common multiple (LCM) of 158 and 183 is 28914.
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 158 and 183?
First, calculate the GCD of 158 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 183 = 0 remainder 158 |
| 2 | 183 ÷ 158 = 1 remainder 25 |
| 3 | 158 ÷ 25 = 6 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 185 | 34780 |
| 114 and 102 | 1938 |
| 25 and 111 | 2775 |
| 98 and 152 | 7448 |
| 10 and 156 | 780 |