Least Common Multiple (LCM) of 26 and 168
The least common multiple (LCM) of 26 and 168 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 26 and 168?
First, calculate the GCD of 26 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 168 = 0 remainder 26 |
| 2 | 168 ÷ 26 = 6 remainder 12 |
| 3 | 26 ÷ 12 = 2 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 119 | 11543 |
| 148 and 49 | 7252 |
| 138 and 180 | 4140 |
| 148 and 77 | 11396 |
| 157 and 81 | 12717 |