Least Common Multiple (LCM) of 168 and 156
The least common multiple (LCM) of 168 and 156 is 2184.
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 156?
First, calculate the GCD of 168 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 156 = 1 remainder 12 |
| 2 | 156 ÷ 12 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 15 | 135 |
| 192 and 89 | 17088 |
| 199 and 82 | 16318 |
| 185 and 13 | 2405 |
| 169 and 54 | 9126 |