Least Common Multiple (LCM) of 168 and 132
The least common multiple (LCM) of 168 and 132 is 1848.
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 132?
First, calculate the GCD of 168 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 132 = 1 remainder 36 |
| 2 | 132 ÷ 36 = 3 remainder 24 |
| 3 | 36 ÷ 24 = 1 remainder 12 |
| 4 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 113 | 20679 |
| 74 and 105 | 7770 |
| 46 and 172 | 3956 |
| 158 and 98 | 7742 |
| 179 and 67 | 11993 |