Least Common Multiple (LCM) of 192 and 63
The least common multiple (LCM) of 192 and 63 is 4032.
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 63?
First, calculate the GCD of 192 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 63 = 3 remainder 3 |
| 2 | 63 ÷ 3 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 66 | 10362 |
| 46 and 56 | 1288 |
| 151 and 70 | 10570 |
| 139 and 113 | 15707 |
| 178 and 69 | 12282 |