Least Common Multiple (LCM) of 168 and 26
The least common multiple (LCM) of 168 and 26 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 168 and 26?
First, calculate the GCD of 168 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 26 = 6 remainder 12 |
| 2 | 26 ÷ 12 = 2 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 152 | 4104 |
| 74 and 134 | 4958 |
| 92 and 151 | 13892 |
| 67 and 60 | 4020 |
| 168 and 68 | 2856 |