Least Common Multiple (LCM) of 168 and 169
The least common multiple (LCM) of 168 and 169 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 168 and 169?
First, calculate the GCD of 168 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 169 = 0 remainder 168 |
| 2 | 169 ÷ 168 = 1 remainder 1 |
| 3 | 168 ÷ 1 = 168 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 42 | 4578 |
| 186 and 91 | 16926 |
| 74 and 18 | 666 |
| 164 and 87 | 14268 |
| 21 and 97 | 2037 |