Least Common Multiple (LCM) of 192 and 147
The least common multiple (LCM) of 192 and 147 is 9408.
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 192 and 147?
First, calculate the GCD of 192 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 147 = 1 remainder 45 |
| 2 | 147 ÷ 45 = 3 remainder 12 |
| 3 | 45 ÷ 12 = 3 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 140 | 15260 |
| 124 and 199 | 24676 |
| 134 and 198 | 13266 |
| 156 and 53 | 8268 |
| 82 and 156 | 6396 |