Least Common Multiple (LCM) of 26 and 104
The least common multiple (LCM) of 26 and 104 is 104.
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 104?
First, calculate the GCD of 26 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 104 = 0 remainder 26 |
| 2 | 104 ÷ 26 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 100 | 6900 |
| 136 and 89 | 12104 |
| 200 and 49 | 9800 |
| 152 and 53 | 8056 |
| 163 and 166 | 27058 |