Least Common Multiple (LCM) of 168 and 83
The least common multiple (LCM) of 168 and 83 is 13944.
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 168 and 83?
First, calculate the GCD of 168 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 83 = 2 remainder 2 |
| 2 | 83 ÷ 2 = 41 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 95 | 570 |
| 38 and 65 | 2470 |
| 102 and 46 | 2346 |
| 82 and 149 | 12218 |
| 119 and 95 | 11305 |