Least Common Multiple (LCM) of 158 and 192
The least common multiple (LCM) of 158 and 192 is 15168.
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 192?
First, calculate the GCD of 158 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 192 = 0 remainder 158 |
| 2 | 192 ÷ 158 = 1 remainder 34 |
| 3 | 158 ÷ 34 = 4 remainder 22 |
| 4 | 34 ÷ 22 = 1 remainder 12 |
| 5 | 22 ÷ 12 = 1 remainder 10 |
| 6 | 12 ÷ 10 = 1 remainder 2 |
| 7 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 145 | 16240 |
| 179 and 143 | 25597 |
| 192 and 198 | 6336 |
| 63 and 79 | 4977 |
| 29 and 40 | 1160 |