Least Common Multiple (LCM) of 169 and 168
The least common multiple (LCM) of 169 and 168 is 28392.
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 169 and 168?
First, calculate the GCD of 169 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 168 = 1 remainder 1 |
| 2 | 168 ÷ 1 = 168 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 117 | 3627 |
| 105 and 12 | 420 |
| 72 and 30 | 360 |
| 158 and 186 | 14694 |
| 181 and 131 | 23711 |