Least Common Multiple (LCM) of 158 and 184
The least common multiple (LCM) of 158 and 184 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 158 and 184?
First, calculate the GCD of 158 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 184 = 0 remainder 158 |
| 2 | 184 ÷ 158 = 1 remainder 26 |
| 3 | 158 ÷ 26 = 6 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 188 | 9964 |
| 105 and 123 | 4305 |
| 63 and 162 | 1134 |
| 153 and 157 | 24021 |
| 90 and 159 | 4770 |