Least Common Multiple (LCM) of 186 and 26
The least common multiple (LCM) of 186 and 26 is 2418.
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 186 and 26?
First, calculate the GCD of 186 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 26 = 7 remainder 4 |
| 2 | 26 ÷ 4 = 6 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 165 | 6270 |
| 165 and 53 | 8745 |
| 36 and 41 | 1476 |
| 18 and 92 | 828 |
| 197 and 120 | 23640 |