Least Common Multiple (LCM) of 192 and 55
The least common multiple (LCM) of 192 and 55 is 10560.
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 55?
First, calculate the GCD of 192 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 55 = 3 remainder 27 |
| 2 | 55 ÷ 27 = 2 remainder 1 |
| 3 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 137 | 1370 |
| 143 and 196 | 28028 |
| 166 and 99 | 16434 |
| 129 and 169 | 21801 |
| 31 and 89 | 2759 |