Least Common Multiple (LCM) of 168 and 146
The least common multiple (LCM) of 168 and 146 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 168 and 146?
First, calculate the GCD of 168 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 146 = 1 remainder 22 |
| 2 | 146 ÷ 22 = 6 remainder 14 |
| 3 | 22 ÷ 14 = 1 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 126 | 2142 |
| 116 and 95 | 11020 |
| 198 and 186 | 6138 |
| 73 and 64 | 4672 |
| 163 and 23 | 3749 |