Least Common Multiple (LCM) of 168 and 92
The least common multiple (LCM) of 168 and 92 is 3864.
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 92?
First, calculate the GCD of 168 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 92 = 1 remainder 76 |
| 2 | 92 ÷ 76 = 1 remainder 16 |
| 3 | 76 ÷ 16 = 4 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 58 | 6902 |
| 172 and 150 | 12900 |
| 172 and 21 | 3612 |
| 35 and 198 | 6930 |
| 17 and 114 | 1938 |