Least Common Multiple (LCM) of 168 and 46
The least common multiple (LCM) of 168 and 46 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 46?
First, calculate the GCD of 168 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 46 = 3 remainder 30 |
| 2 | 46 ÷ 30 = 1 remainder 16 |
| 3 | 30 ÷ 16 = 1 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 91 | 9373 |
| 121 and 164 | 19844 |
| 10 and 182 | 910 |
| 189 and 27 | 189 |
| 55 and 198 | 990 |