Least Common Multiple (LCM) of 168 and 23
The least common multiple (LCM) of 168 and 23 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 23?
First, calculate the GCD of 168 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 23 = 7 remainder 7 |
| 2 | 23 ÷ 7 = 3 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 14 | 1134 |
| 35 and 65 | 455 |
| 169 and 64 | 10816 |
| 114 and 75 | 2850 |
| 10 and 61 | 610 |