Least Common Multiple (LCM) of 92 and 26
The least common multiple (LCM) of 92 and 26 is 1196.
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 92 and 26?
First, calculate the GCD of 92 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 26 = 3 remainder 14 |
| 2 | 26 ÷ 14 = 1 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 120 | 3720 |
| 141 and 191 | 26931 |
| 199 and 26 | 5174 |
| 54 and 114 | 1026 |
| 132 and 125 | 16500 |