Least Common Multiple (LCM) of 168 and 69
The least common multiple (LCM) of 168 and 69 is 3864.
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 69?
First, calculate the GCD of 168 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 69 = 2 remainder 30 |
| 2 | 69 ÷ 30 = 2 remainder 9 |
| 3 | 30 ÷ 9 = 3 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 13 | 2236 |
| 131 and 35 | 4585 |
| 36 and 72 | 72 |
| 36 and 94 | 1692 |
| 25 and 84 | 2100 |