Least Common Multiple (LCM) of 132 and 168
The least common multiple (LCM) of 132 and 168 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 132 and 168?
First, calculate the GCD of 132 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 168 = 0 remainder 132 |
| 2 | 168 ÷ 132 = 1 remainder 36 |
| 3 | 132 ÷ 36 = 3 remainder 24 |
| 4 | 36 ÷ 24 = 1 remainder 12 |
| 5 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 188 | 6580 |
| 143 and 55 | 715 |
| 190 and 108 | 10260 |
| 41 and 149 | 6109 |
| 11 and 31 | 341 |