Least Common Multiple (LCM) of 146 and 168
The least common multiple (LCM) of 146 and 168 is 12264.
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 146 and 168?
First, calculate the GCD of 146 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 168 = 0 remainder 146 |
| 2 | 168 ÷ 146 = 1 remainder 22 |
| 3 | 146 ÷ 22 = 6 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 157 | 29673 |
| 156 and 68 | 2652 |
| 73 and 180 | 13140 |
| 11 and 125 | 1375 |
| 147 and 101 | 14847 |