Least Common Multiple (LCM) of 154 and 192
The least common multiple (LCM) of 154 and 192 is 14784.
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 192?
First, calculate the GCD of 154 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 192 = 0 remainder 154 |
| 2 | 192 ÷ 154 = 1 remainder 38 |
| 3 | 154 ÷ 38 = 4 remainder 2 |
| 4 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 116 | 5104 |
| 21 and 155 | 3255 |
| 172 and 156 | 6708 |
| 196 and 42 | 588 |
| 135 and 105 | 945 |