Least Common Multiple (LCM) of 83 and 182
The least common multiple (LCM) of 83 and 182 is 15106.
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 83 and 182?
First, calculate the GCD of 83 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 83 ÷ 182 = 0 remainder 83 |
| 2 | 182 ÷ 83 = 2 remainder 16 |
| 3 | 83 ÷ 16 = 5 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 38 | 2090 |
| 106 and 157 | 16642 |
| 175 and 75 | 525 |
| 124 and 97 | 12028 |
| 54 and 190 | 5130 |