Least Common Multiple (LCM) of 117 and 26
The least common multiple (LCM) of 117 and 26 is 234.
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 117 and 26?
First, calculate the GCD of 117 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 26 = 4 remainder 13 |
| 2 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 23 | 1748 |
| 78 and 20 | 780 |
| 197 and 106 | 20882 |
| 27 and 171 | 513 |
| 92 and 129 | 11868 |