Least Common Multiple (LCM) of 192 and 83
The least common multiple (LCM) of 192 and 83 is 15936.
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 83?
First, calculate the GCD of 192 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 83 = 2 remainder 26 |
| 2 | 83 ÷ 26 = 3 remainder 5 |
| 3 | 26 ÷ 5 = 5 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 76 | 8132 |
| 134 and 109 | 14606 |
| 14 and 73 | 1022 |
| 179 and 184 | 32936 |
| 170 and 51 | 510 |