Least Common Multiple (LCM) of 168 and 39
The least common multiple (LCM) of 168 and 39 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 39?
First, calculate the GCD of 168 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 39 = 4 remainder 12 |
| 2 | 39 ÷ 12 = 3 remainder 3 |
| 3 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 31 | 3627 |
| 172 and 127 | 21844 |
| 65 and 132 | 8580 |
| 165 and 33 | 165 |
| 145 and 74 | 10730 |